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22838137002 = 2333720875477
BaseRepresentation
bin10101010001010000…
…100101000010101010
32011221121222120022000
4111101100211002222
5333233030341002
614254112311430
71435643650542
oct252120450252
964847876260
1022838137002
11975a59539a
124514542576
1321cc698745
1411691d6322
158d9eda61c
hex5514250aa

22838137002 has 64 divisors (see below), whose sum is σ = 52157571840. Its totient is φ = 7402062528.

The previous prime is 22838137001. The next prime is 22838137013. The reversal of 22838137002 is 20073183822.

It is a happy number.

22838137002 is a `hidden beast` number, since 2 + 283 + 8 + 1 + 370 + 0 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (22838137001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4167088 + ... + 4172564.

It is an arithmetic number, because the mean of its divisors is an integer number (814962060).

Almost surely, 222838137002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22838137002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26078785920).

22838137002 is an abundant number, since it is smaller than the sum of its proper divisors (29319434838).

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

22838137002 is a wasteful number, since it uses less digits than its factorization.

22838137002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7612 (or 7606 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 22838137002 in words is "twenty-two billion, eight hundred thirty-eight million, one hundred thirty-seven thousand, two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1998 2087 4174 5477 6261 10954 12522 16431 18783 32862 37566 49293 56349 77219 98586 112698 147879 154438 202649 231657 295758 405298 463314 607947 694971 1215894 1389942 1823841 2084913 3647682 4169826 5471523 10943046 11430499 22860998 34291497 68582994 102874491 205748982 308623473 422928463 617246946 845856926 1268785389 2537570778 3806356167 7612712334 11419068501 22838137002