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233979233796 = 2234721123492
BaseRepresentation
bin1101100111101000111…
…1111100011000000100
3211100221102012121110000
43121322033330120010
512313142140440141
6255253311001300
722622136446400
oct3317217743004
9740842177400
10233979233796
11902591a5500
123941b209230
13190aac14889
14b478bd6100
1561465c05b6
hex367a3fc604

233979233796 has 405 divisors, whose sum is σ = 784344641157. Its totient is φ = 60599689920.

The previous prime is 233979233767. The next prime is 233979233801. The reversal of 233979233796 is 697332979332.

The square root of 233979233796 is 483714.

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

233979233796 is a `hidden beast` number, since 2 + 3 + 397 + 9 + 233 + 7 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 171738963396 + 62240270400 = 414414^2 + 249480^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 670427430 + ... + 670427778.

Almost surely, 2233979233796 is an apocalyptic number.

233979233796 is the 483714-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233979233796

233979233796 is an abundant number, since it is smaller than the sum of its proper divisors (550365407361).

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

233979233796 is a wasteful number, since it uses less digits than its factorization.

233979233796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 372 counting only the distinct ones).

The product of its digits is 69441624, while the sum is 63.

The spelling of 233979233796 in words is "two hundred thirty-three billion, nine hundred seventy-nine million, two hundred thirty-three thousand, seven hundred ninety-six".