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22402330032 = 243619778877
BaseRepresentation
bin10100110111010010…
…000110110110110000
32010211020221021112010
4110313102012312300
5331334444030112
614142543402520
71422102443355
oct246722066660
963736837463
1022402330032
119556593145
1244125b3440
1321602cacb4
14112739062c
158b1b0263c
hex537486db0

22402330032 has 80 divisors (see below), whose sum is σ = 59428578272. Its totient is φ = 7269212160.

The previous prime is 22402330021. The next prime is 22402330099. The reversal of 22402330032 is 23003320422.

It is a junction number, because it is equal to n+sod(n) for n = 22402329990 and 22402330008.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 244578 + ... + 323454.

Almost surely, 222402330032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22402330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29714289136).

22402330032 is an abundant number, since it is smaller than the sum of its proper divisors (37026248240).

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

22402330032 is a wasteful number, since it uses less digits than its factorization.

22402330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79046 (or 79040 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 22402330032 its reverse (23003320422), we get a palindrome (45405650454).

The spelling of 22402330032 in words is "twenty-two billion, four hundred two million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 97 122 183 194 244 291 366 388 488 582 732 776 976 1164 1464 1552 2328 2928 4656 5917 11834 17751 23668 35502 47336 71004 78877 94672 142008 157754 236631 284016 315508 473262 631016 946524 1262032 1893048 3786096 4811497 7651069 9622994 14434491 15302138 19245988 22953207 28868982 30604276 38491976 45906414 57737964 61208552 76983952 91812828 115475928 122417104 183625656 230951856 367251312 466715209 933430418 1400145627 1866860836 2800291254 3733721672 5600582508 7467443344 11201165016 22402330032