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233123034304 = 268960168099
BaseRepresentation
bin1101100100011100110…
…1110011010011000000
3211021201202010011112201
43121013031303103000
512304413444044204
6255032323402544
722562002045066
oct3310715632300
9737652104481
10233123034304
118a95996a116
1239220523454
1318ca2715864
14b3d71dc036
1560e63469a4
hex36473734c0

233123034304 has 56 divisors (see below), whose sum is σ = 468586566000. Its totient is φ = 115058380800.

The previous prime is 233123034293. The next prime is 233123034317. The reversal of 233123034304 is 403430321332.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3389247 + ... + 3457345.

It is an arithmetic number, because the mean of its divisors is an integer number (8367617250).

Almost surely, 2233123034304 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 233123034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234293283000).

233123034304 is an abundant number, since it is smaller than the sum of its proper divisors (235463531696).

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

233123034304 is an equidigital number, since it uses as much as digits as its factorization.

233123034304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68801 (or 68791 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 233123034304 its reverse (403430321332), we get a palindrome (636553355636).

The spelling of 233123034304 in words is "two hundred thirty-three billion, one hundred twenty-three million, thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 89 178 356 601 712 1202 1424 2404 2848 4808 5696 9616 19232 38464 53489 68099 106978 136198 213956 272396 427912 544792 855824 1089584 1711648 2179168 3423296 4358336 6060811 12121622 24243244 40927499 48486488 81854998 96972976 163709996 193945952 327419992 387891904 654839984 1309679968 2619359936 3642547411 7285094822 14570189644 29140379288 58280758576 116561517152 233123034304