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22220012021020 = 225111016143162787
BaseRepresentation
bin1010000110101011111111…
…11011000110010100011100
32220200012201211202001002221
411003111333323012110130
510403023041034133040
6115131422124155124
74452225416605402
oct503257773062434
986605654661087
1022220012021020
1170974aa569670
1225aa479098aa4
13c52451b90618
1456b650923472
15287ed812a74a
hex14357fec651c

22220012021020 has 96 divisors (see below), whose sum is σ = 51416712216576. Its totient is φ = 7998652896000.

The previous prime is 22220012020993. The next prime is 22220012021023. The reversal of 22220012021020 is 2012021002222.

It is a junction number, because it is equal to n+sod(n) for n = 22220012020985 and 22220012021003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22220012021023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136416067 + ... + 136578853.

It is an arithmetic number, because the mean of its divisors is an integer number (535590752256).

Almost surely, 222220012021020 is an apocalyptic number.

22220012021020 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 22220012021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25708356108288).

22220012021020 is an abundant number, since it is smaller than the sum of its proper divisors (29196700195556).

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

22220012021020 is a wasteful number, since it uses less digits than its factorization.

22220012021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169051 (or 169049 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22220012021020 its reverse (2012021002222), we get a palindrome (24232033023242).

It can be divided in two parts, 2222001202 and 1020, that added together give a palindrome (2222002222).

The spelling of 22220012021020 in words is "twenty-two trillion, two hundred twenty billion, twelve million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 6143 11110 12286 22220 24572 30715 61430 67573 122860 135146 162787 270292 325574 337865 620443 651148 675730 813935 1240886 1351460 1627870 1790657 2481772 3102215 3255740 3581314 6204430 6824873 7162628 8953285 12408860 13649746 16441487 17906570 27299492 32882974 34124365 35813140 65765948 68248730 82207435 136497460 164414870 180856357 328829740 361712714 723425428 904281785 1000000541 1808563570 2000001082 3617127140 4000002164 5000002705 10000005410 11000005951 20000010820 22000011902 44000023804 55000029755 101000054641 110000059510 202000109282 220000119020 404000218564 505000273205 1010000546410 1111000601051 2020001092820 2222001202102 4444002404204 5555003005255 11110006010510 22220012021020