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232046450944 = 2872112172232
BaseRepresentation
bin1101100000011100001…
…0111101100100000000
3211011221201100001210221
43120013002331210000
512300212342412234
6254333424432424
722523220201100
oct3300702754400
9734851301727
10232046450944
118a457199100
1238b7ba78714
1318b60673499
14b334237200
156081a88eb4
hex36070bd900

232046450944 has 729 divisors, whose sum is σ = 657674348961. Its totient is φ = 81390059520.

The previous prime is 232046450929. The next prime is 232046450947. The reversal of 232046450944 is 449054640232.

The square root of 232046450944 is 481712.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 180659001600 + 51387449344 = 425040^2 + 226688^2 .

It is a super-2 number, since 2×2320464509442 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 232046450944.

It is not an unprimeable number, because it can be changed into a prime (232046450947) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10088976117 + ... + 10088976139.

Almost surely, 2232046450944 is an apocalyptic number.

232046450944 is the 481712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232046450944

232046450944 is an abundant number, since it is smaller than the sum of its proper divisors (425627898017).

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

232046450944 is a wasteful number, since it uses less digits than its factorization.

232046450944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 232046450944 in words is "two hundred thirty-two billion, forty-six million, four hundred fifty thousand, nine hundred forty-four".