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23235053232 = 2436110178569
BaseRepresentation
bin10101101000111010…
…101100011010110000
32012222021212000000010
4111220322230122300
5340041133200412
614401331454520
71451533456656
oct255072543260
965867760003
1023235053232
119943644436
124605457440
13226399a511
1411a5bd6dd6
1590ec9033c
hex568eac6b0

23235053232 has 80 divisors (see below), whose sum is σ = 61612708320. Its totient is φ = 7542528000.

The previous prime is 23235053201. The next prime is 23235053249.

23235053232 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23235053232.

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, 256444 + ... + 335012.

It is an arithmetic number, because the mean of its divisors is an integer number (770158854).

Almost surely, 223235053232 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 23235053232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30806354160).

23235053232 is an abundant number, since it is smaller than the sum of its proper divisors (38377655088).

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

23235053232 is a wasteful number, since it uses less digits than its factorization.

23235053232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78742 (or 78736 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

It can be divided in two parts, 232350 and 53232, that added together give a palindrome (285582).

The spelling of 23235053232 in words is "twenty-three billion, two hundred thirty-five million, fifty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 101 122 183 202 244 303 366 404 488 606 732 808 976 1212 1464 1616 2424 2928 4848 6161 12322 18483 24644 36966 49288 73932 78569 98576 147864 157138 235707 295728 314276 471414 628552 942828 1257104 1885656 3771312 4792709 7935469 9585418 14378127 15870938 19170836 23806407 28756254 31741876 38341672 47612814 57512508 63483752 76683344 95225628 115025016 126967504 190451256 230050032 380902512 484063609 968127218 1452190827 1936254436 2904381654 3872508872 5808763308 7745017744 11617526616 23235053232