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22002222020020 = 22511231909132261
BaseRepresentation
bin1010000000010110010101…
…01000001011010110110100
32212220101120200102200001121
411000023022220023112310
510340441022314120040
6114443403052433324
74430415400260304
oct500131250132664
985811520380047
1022002222020020
1170130a9808400
122574217778844
13c37a53cb9448
14560cadc7b604
152824dce7ec4a
hex1402caa0b5b4

22002222020020 has 144 divisors (see below), whose sum is σ = 52432627742208. Its totient is φ = 7741625760000.

The previous prime is 22002222019963. The next prime is 22002222020027. The reversal of 22002222020020 is 2002022220022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22002222019976 and 22002222020003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002222020027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681990690 + ... + 682022950.

It is an arithmetic number, because the mean of its divisors is an integer number (364115470432).

Almost surely, 222002222020020 is an apocalyptic number.

22002222020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22002222020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26216313871104).

22002222020020 is an abundant number, since it is smaller than the sum of its proper divisors (30430405722188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22002222020020 is a wasteful number, since it uses less digits than its factorization.

22002222020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41414 (or 41401 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 22002222020020 its reverse (2002022220022), we get a palindrome (24004244240042).

The spelling of 22002222020020 in words is "twenty-two trillion, two billion, two hundred twenty-two million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 121 124 155 220 242 310 341 484 605 620 682 1210 1364 1705 2420 3410 3751 6820 7502 9091 15004 18182 18755 32261 36364 37510 45455 64522 75020 90910 100001 129044 161305 181820 200002 281821 322610 354871 400004 500005 563642 645220 709742 1000010 1000091 1100011 1127284 1409105 1419484 1774355 2000020 2000182 2200022 2818210 3100031 3548710 3903581 4000364 4400044 5000455 5500055 5636420 6200062 7097420 7807162 10000910 11000110 11001001 12400124 15500155 15614324 19517905 20001820 22000220 22002002 31000310 34100341 39035810 44004004 55005005 62000620 68200682 78071620 110010010 121011011 136401364 170501705 220020020 242022022 293284751 341003410 484044044 586569502 605055055 682006820 1173139004 1210110110 1466423755 2420220220 2932847510 3226132261 5865695020 6452264522 9091827281 12904529044 16130661305 18183654562 32261322610 35487454871 36367309124 45459136405 64522645220 70974909742 90918272810 100010100091 141949819484 177437274355 181836545620 200020200182 354874548710 400040400364 500050500455 709749097420 1000101000910 1100111101001 2000202001820 2200222202002 4400444404004 5500555505005 11001111010010 22002222020020