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23281288218232 = 23112919147763151
BaseRepresentation
bin1010100101100100110001…
…11010100000011001111000
310001102200002000010210210121
411102302120322200121320
511022420034240440412
6121303135352223024
74622006011464622
oct522623072403170
9101380060123717
1023281288218232
1174665a2291460
1227400a039aa74
13ccb554109005
145a6b6b105c12
152a58ee182107
hex152c98ea0678

23281288218232 has 64 divisors (see below), whose sum is σ = 49520835993600. Its totient is φ = 10163998320000.

The previous prime is 23281288218229. The next prime is 23281288218269.

23281288218232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×232812882182322 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23281288218232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23394144 + ... + 24369007.

It is an arithmetic number, because the mean of its divisors is an integer number (773763062400).

Almost surely, 223281288218232 is an apocalyptic number.

23281288218232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23281288218232 is an abundant number, since it is smaller than the sum of its proper divisors (26239547775368).

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

23281288218232 is a wasteful number, since it uses less digits than its factorization.

23281288218232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47763388 (or 47763384 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 52.

The spelling of 23281288218232 in words is "twenty-three trillion, two hundred eighty-one billion, two hundred eighty-eight million, two hundred eighteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 191 232 319 382 638 764 1276 1528 2101 2552 4202 5539 8404 11078 16808 22156 44312 60929 121858 243716 487432 47763151 95526302 191052604 382105208 525394661 1050789322 1385131379 2101578644 2770262758 4203157288 5540525516 9122761841 11081051032 15236445169 18245523682 30472890338 36491047364 60945780676 72982094728 100350380251 121891561352 200700760502 264560093389 401401521004 529120186778 802803042008 1058240373556 2116480747112 2910161027279 5820322054558 11640644109116 23281288218232