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23255055232 = 273123325153
BaseRepresentation
bin10101101010000110…
…111111101110000000
32020000200111012120221
4111222012333232000
5340111243231412
614403324312424
71452165464563
oct255206775600
966020435527
1023255055232
119953966212
1246100a2714
132267b81816
1411a87224da
159118e1b07
hex56a1bfb80

23255055232 has 64 divisors (see below), whose sum is σ = 48030053760. Its totient is φ = 11203706880.

The previous prime is 23255055199. The next prime is 23255055251.

23255055232 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

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, 911968 + ... + 937120.

It is an arithmetic number, because the mean of its divisors is an integer number (750469590).

Almost surely, 223255055232 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 23255055232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24015026880).

23255055232 is an abundant number, since it is smaller than the sum of its proper divisors (24774998528).

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

23255055232 is a wasteful number, since it uses less digits than its factorization.

23255055232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25431 (or 25419 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 34.

It can be divided in two parts, 232550 and 55232, that added together give a palindrome (287782).

The spelling of 23255055232 in words is "twenty-three billion, two hundred fifty-five million, fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 233 248 466 496 932 992 1864 1984 3728 3968 7223 7456 14446 14912 25153 28892 29824 50306 57784 100612 115568 201224 231136 402448 462272 779743 804896 924544 1559486 1609792 3118972 3219584 5860649 6237944 11721298 12475888 23442596 24951776 46885192 49903552 93770384 99807104 181680119 187540768 363360238 375081536 726720476 750163072 1453440952 2906881904 5813763808 11627527616 23255055232