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23154688020 = 223531101312289
BaseRepresentation
bin10101100100001000…
…001000000000010100
32012202200122000122210
4111210020020000110
5334410100004040
614345341153420
71446536413032
oct254410100024
965680560583
1023154688020
119902243902
1245a255b870
13225013cb39
141199277552
15907bb8480
hex564208014

23154688020 has 96 divisors (see below), whose sum is σ = 66996034560. Its totient is φ = 5969018880.

The previous prime is 23154688009. The next prime is 23154688069. The reversal of 23154688020 is 2088645132.

It is a super-2 number, since 2×231546880202 (a number of 22 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 23154688020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1878036 + ... + 1890324.

It is an arithmetic number, because the mean of its divisors is an integer number (697875360).

Almost surely, 223154688020 is an apocalyptic number.

23154688020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23154688020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33498017280).

23154688020 is an abundant number, since it is smaller than the sum of its proper divisors (43841346540).

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

23154688020 is a wasteful number, since it uses less digits than its factorization.

23154688020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13345 (or 13343 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 23154688020 in words is "twenty-three billion, one hundred fifty-four million, six hundred eighty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1013 1860 2026 3039 4052 5065 6078 10130 12156 12289 15195 20260 24578 30390 31403 36867 49156 60780 61445 62806 73734 94209 122890 125612 147468 157015 184335 188418 245780 314030 368670 376836 380959 471045 628060 737340 761918 942090 1142877 1523836 1884180 1904795 2285754 3809590 4571508 5714385 7619180 11428770 12448757 22857540 24897514 37346271 49795028 62243785 74692542 124487570 149385084 186731355 248975140 373462710 385911467 746925420 771822934 1157734401 1543645868 1929557335 2315468802 3859114670 4630937604 5788672005 7718229340 11577344010 23154688020