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23464139200 = 265223996113
BaseRepresentation
bin10101110110100100…
…100101100111000000
32020120020220202212121
4111312210211213000
5341023304423300
614440153534024
71460314615045
oct256644454700
966506822777
1023464139200
119a50993087
12466a114314
13229c299748
1411c83cb1cc
15924e4281a
hex5769259c0

23464139200 has 84 divisors (see below), whose sum is σ = 57769963200. Its totient is φ = 9380208640.

The previous prime is 23464139197. The next prime is 23464139203. The reversal of 23464139200 is 293146432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23464139197) and next prime (23464139203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23464139203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3835344 + ... + 3841456.

Almost surely, 223464139200 is an apocalyptic number.

23464139200 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 23464139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28884981600).

23464139200 is an abundant number, since it is smaller than the sum of its proper divisors (34305824000).

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

23464139200 is a wasteful number, since it uses less digits than its factorization.

23464139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8534 (or 8519 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 23464139200 in words is "twenty-three billion, four hundred sixty-four million, one hundred thirty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 2399 4798 6113 9596 11995 12226 19192 23990 24452 30565 38384 47980 48904 59975 61130 76768 95960 97808 119950 122260 152825 153536 191920 195616 239900 244520 305650 383840 391232 479800 489040 611300 767680 959600 978080 1222600 1919200 1956160 2445200 3838400 4890400 9780800 14665087 29330174 58660348 73325435 117320696 146650870 234641392 293301740 366627175 469282784 586603480 733254350 938565568 1173206960 1466508700 2346413920 2933017400 4692827840 5866034800 11732069600 23464139200