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231648469520 = 2451317532331061
BaseRepresentation
bin1101011110111101010…
…0110010001000010000
3211010220222110111221012
43113233110302020100
512243404002011040
6254230130350052
722510315334306
oct3275724621020
9733828414835
10231648469520
118a272581836
1238a8a72b328
1318ac908a910
14b2d743a276
15605bb73865
hex35ef532210

231648469520 has 320 divisors, whose sum is σ = 628995616704. Its totient is φ = 78568488960.

The previous prime is 231648469439. The next prime is 231648469597. The reversal of 231648469520 is 25964846132.

It can be written as a sum of positive squares in 32 ways, for example, as 134832902416 + 96815567104 = 367196^2 + 311152^2 .

It is a super-2 number, since 2×2316484695202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218329790 + ... + 218330850.

Almost surely, 2231648469520 is an apocalyptic number.

231648469520 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 231648469520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314497808352).

231648469520 is an abundant number, since it is smaller than the sum of its proper divisors (397347147184).

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

231648469520 is a wasteful number, since it uses less digits than its factorization.

231648469520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 231648469520 in words is "two hundred thirty-one billion, six hundred forty-eight million, four hundred sixty-nine thousand, five hundred twenty".