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230577775032 = 23311873400663
BaseRepresentation
bin1101011010111110000…
…0011010000110111000
3211001011100202121012210
43112233200122012320
512234210402300112
6253532001535120
722441634515113
oct3265740320670
9731140677183
10230577775032
1189873163160
12388300444a0
13189882caa97
14b23516957a
155ee7b7ab3c
hex35af81a1b8

230577775032 has 32 divisors (see below), whose sum is σ = 628848478080. Its totient is φ = 69872052960.

The previous prime is 230577775003. The next prime is 230577775063.

230577775032 is nontrivially palindromic in base 10.

230577775032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2305777750322 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 436700068 + ... + 436700595.

It is an arithmetic number, because the mean of its divisors is an integer number (19651514940).

Almost surely, 2230577775032 is an apocalyptic number.

230577775032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230577775032 is an abundant number, since it is smaller than the sum of its proper divisors (398270703048).

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

230577775032 is a wasteful number, since it uses less digits than its factorization.

230577775032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873400683 (or 873400679 counting only the distinct ones).

The product of its (nonzero) digits is 2160900, while the sum is 48.

The spelling of 230577775032 in words is "two hundred thirty billion, five hundred seventy-seven million, seven hundred seventy-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 873400663 1746801326 2620201989 3493602652 5240403978 6987205304 9607407293 10480807956 19214814586 20961615912 28822221879 38429629172 57644443758 76859258344 115288887516 230577775032