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233253694380 = 223571634218093
BaseRepresentation
bin1101100100111100000…
…0001110101110101100
3211022001211222101110210
43121033000032232230
512310200421210010
6255053312102420
722565146455210
oct3311700165654
9738054871423
10233253694380
118aa166a1a53
1239258234a10
1318cc3802905
14b40a6d0940
156102a55b20
hex364f00ebac

233253694380 has 192 divisors, whose sum is σ = 752867877888. Its totient is φ = 52855649280.

The previous prime is 233253694363. The next prime is 233253694391. The reversal of 233253694380 is 83496352332.

233253694380 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, 28817614 + ... + 28825706.

It is an arithmetic number, because the mean of its divisors is an integer number (3921186864).

Almost surely, 2233253694380 is an apocalyptic number.

233253694380 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 233253694380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376433938944).

233253694380 is an abundant number, since it is smaller than the sum of its proper divisors (519614183508).

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

233253694380 is a wasteful number, since it uses less digits than its factorization.

233253694380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8696 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 48.

The spelling of 233253694380 in words is "two hundred thirty-three billion, two hundred fifty-three million, six hundred ninety-four thousand, three hundred eighty".