Search a number
-
+
230104857888 = 253329671131213
BaseRepresentation
bin1101011001001101010…
…0010111110100100000
3210222221101212220212000
43112103110113310200
512232223320423023
6253413025404000
722424133006663
oct3262324276440
9728841786760
10230104857888
1189650214544
1238719799600
1318911338c59
14b1cc4236da
155ebb3b2243
hex3593517d20

230104857888 has 384 divisors, whose sum is σ = 711466156800. Its totient is φ = 72246214656.

The previous prime is 230104857877. The next prime is 230104857907. The reversal of 230104857888 is 888758401032.

230104857888 is a `hidden beast` number, since 2 + 3 + 0 + 10 + 485 + 78 + 88 = 666.

It is a super-4 number, since 4×2301048578884 (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189698370 + ... + 189699582.

It is an arithmetic number, because the mean of its divisors is an integer number (1852776450).

Almost surely, 2230104857888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230104857888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355733078400).

230104857888 is an abundant number, since it is smaller than the sum of its proper divisors (481361298912).

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

230104857888 is a wasteful number, since it uses less digits than its factorization.

230104857888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 230104857888 in words is "two hundred thirty billion, one hundred four million, eight hundred fifty-seven thousand, eight hundred eighty-eight".