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22040202042 = 23223211512011
BaseRepresentation
bin10100100001101100…
…101100101100111010
32002220000112021022100
4110201230230230322
5330114242431132
614043010004230
71410114424545
oct244154545472
962800467270
1022040202042
119390135011
124331276676
132103289791
1410d124785c
1588ee2037c
hex521b2cb3a

22040202042 has 72 divisors (see below), whose sum is σ = 49988510208. Its totient is φ = 7017714000.

The previous prime is 22040202017. The next prime is 22040202047. The reversal of 22040202042 is 24020204022.

22040202042 is a `hidden beast` number, since 220 + 402 + 0 + 2 + 0 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22040202047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10958817 + ... + 10960827.

It is an arithmetic number, because the mean of its divisors is an integer number (694284864).

Almost surely, 222040202042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22040202042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24994255104).

22040202042 is an abundant number, since it is smaller than the sum of its proper divisors (27948308166).

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

22040202042 is a wasteful number, since it uses less digits than its factorization.

22040202042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22040202042 its reverse (24020204022), we get a palindrome (46060406064).

The spelling of 22040202042 in words is "twenty-two billion, forty million, two hundred two thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 529 1058 1151 1587 2011 2302 3174 3453 4022 4761 6033 6906 9522 10359 12066 18099 20718 26473 36198 46253 52946 79419 92506 138759 158838 238257 277518 416277 476514 608879 832554 1063819 1217758 1826637 2127638 2314661 3191457 3653274 4629322 5479911 6382914 6943983 9574371 10959822 13887966 19148742 20831949 41663898 53237203 106474406 159711609 319423218 479134827 958269654 1224455669 2448911338 3673367007 7346734014 11020101021 22040202042