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233239377252 = 2237431491912269
BaseRepresentation
bin1101100100111000100…
…1100111010101100100
3211022000212001000001210
43121032021213111210
512310133240033002
6255052041151420
722564613665260
oct3311611472544
9738025030053
10233239377252
118aa09603312
123925348b570
1318cc085c03b
14b4088450a0
15610167896c
hex364e267564

233239377252 has 192 divisors, whose sum is σ = 644345856000. Its totient is φ = 64286369280.

The previous prime is 233239377233. The next prime is 233239377337. The reversal of 233239377252 is 252773932332.

233239377252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102792774 + ... + 102795042.

It is an arithmetic number, because the mean of its divisors is an integer number (3355968000).

Almost surely, 2233239377252 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 233239377252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322172928000).

233239377252 is an abundant number, since it is smaller than the sum of its proper divisors (411106478748).

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

233239377252 is a wasteful number, since it uses less digits than its factorization.

233239377252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2664 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 48.

The spelling of 233239377252 in words is "two hundred thirty-three billion, two hundred thirty-nine million, three hundred seventy-seven thousand, two hundred fifty-two".