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23685210000 = 243854192
BaseRepresentation
bin10110000011101111…
…111001111110010000
32021010122220100000000
4112003233321332100
5342001403210000
614514132130000
71465640651244
oct260357717620
967118810000
1023685210000
11a054757921
124710166900
13230602067a
1412098d6424
15939560000
hex583bf9f90

23685210000 has 675 divisors, whose sum is σ = 90777231831. Its totient is φ = 5983632000.

The previous prime is 23685209993. The next prime is 23685210013. The reversal of 23685210000 is 1258632.

The square root of 23685210000 is 153900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1856920464 + 21828289536 = 43092^2 + 147744^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1246589991 + ... + 1246590009.

Almost surely, 223685210000 is an apocalyptic number.

23685210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23685210000 is the 153900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23685210000

23685210000 is an abundant number, since it is smaller than the sum of its proper divisors (67092021831).

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

23685210000 is an frugal number, since it uses more digits than its factorization.

23685210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 23685210000 its reverse (1258632), we get a palindrome (23686468632).

The spelling of 23685210000 in words is "twenty-three billion, six hundred eighty-five million, two hundred ten thousand".