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23232223232 = 21183971409
BaseRepresentation
bin10101101000101111…
…111001100000000000
32012222002112012222022
4111220233321200000
5340034422120412
614401151101012
71451500432151
oct255057714000
965862465868
1023232223232
119941a91199
124604511768
13226321936a
1411a569b928
1590e8d1a72
hex568bf9800

23232223232 has 96 divisors (see below), whose sum is σ = 47531156400. Its totient is φ = 11349786624.

The previous prime is 23232223219. The next prime is 23232223243.

23232223232 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16487744 + ... + 16489152.

Almost surely, 223232223232 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 23232223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23765578200).

23232223232 is an abundant number, since it is smaller than the sum of its proper divisors (24298933168).

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

23232223232 is an equidigital number, since it uses as much as digits as its factorization.

23232223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1591 counting only the distinct ones).

The product of its digits is 10368, while the sum is 26.

The spelling of 23232223232 in words is "twenty-three billion, two hundred thirty-two million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 83 97 128 166 194 256 332 388 512 664 776 1024 1328 1409 1552 2048 2656 2818 3104 5312 5636 6208 8051 10624 11272 12416 16102 21248 22544 24832 32204 42496 45088 49664 64408 84992 90176 99328 116947 128816 136673 169984 180352 198656 233894 257632 273346 360704 467788 515264 546692 721408 935576 1030528 1093384 1442816 1871152 2061056 2186768 2885632 3742304 4122112 4373536 7484608 8244224 8747072 11343859 14969216 16488448 17494144 22687718 29938432 34988288 45375436 59876864 69976576 90750872 119753728 139953152 181501744 239507456 279906304 363003488 726006976 1452013952 2904027904 5808055808 11616111616 23232223232