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20022011200 = 265210721093
BaseRepresentation
bin10010101001011001…
…111010010101000000
31220200100221112221101
4102221121322111000
5312001113324300
613110433104144
71306110200332
oct225131722500
956610845841
1020022011200
1185449a33a4
123a693b8054
131b71113609
14d7d1b5452
157c2b67b6a
hex4a967a540

20022011200 has 126 divisors (see below), whose sum is σ = 49776900446. Its totient is φ = 7926696960.

The previous prime is 20022011189. The next prime is 20022011201. The reversal of 20022011200 is 211022002.

It can be written as a sum of positive squares in 3 ways, for example, as 6067786816 + 13954224384 = 77896^2 + 118128^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20022011201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18317854 + ... + 18318946.

Almost surely, 220022011200 is an apocalyptic number.

20022011200 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 20022011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24888450223).

20022011200 is an abundant number, since it is smaller than the sum of its proper divisors (29754889246).

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

20022011200 is a wasteful number, since it uses less digits than its factorization.

20022011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20022011200 its reverse (211022002), we get a palindrome (20233033202).

The spelling of 20022011200 in words is "twenty billion, twenty-two million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 107 160 200 214 320 400 428 535 800 856 1070 1093 1600 1712 2140 2186 2675 3424 4280 4372 5350 5465 6848 8560 8744 10700 10930 11449 17120 17488 21400 21860 22898 27325 34240 34976 42800 43720 45796 54650 57245 69952 85600 87440 91592 109300 114490 116951 171200 174880 183184 218600 228980 233902 286225 349760 366368 437200 457960 467804 572450 584755 732736 874400 915920 935608 1144900 1169510 1748800 1831840 1871216 2289800 2339020 2923775 3663680 3742432 4579600 4678040 5847550 7484864 9159200 9356080 11695100 12513757 18318400 18712160 23390200 25027514 37424320 46780400 50055028 62568785 93560800 100110056 125137570 187121600 200220112 250275140 312843925 400440224 500550280 625687850 800880448 1001100560 1251375700 2002201120 2502751400 4004402240 5005502800 10011005600 20022011200