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231499090368 = 26337213436773
BaseRepresentation
bin1101011110011001101…
…0111100100111000000
3211010112120101021021000
43113212122330213000
512243102231342433
6254203232532000
722503522541500
oct3274632744700
9733476337230
10231499090368
118a1a6223a97
1238a486b1000
1318aa41484a0
14b2c1673a00
15604d9b8113
hex35e66bc9c0

231499090368 has 1344 divisors, whose sum is σ = 897552606720. Its totient is φ = 57940033536.

The previous prime is 231499090351. The next prime is 231499090373. The reversal of 231499090368 is 863090994132.

231499090368 is a `hidden beast` number, since 2 + 3 + 1 + 499 + 0 + 90 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×2314990903682 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3171220380 + ... + 3171220452.

It is an arithmetic number, because the mean of its divisors is an integer number (667821880).

Almost surely, 2231499090368 is an apocalyptic number.

231499090368 is a gapful number since it is divisible by the number (28) 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 231499090368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448776303360).

231499090368 is an abundant number, since it is smaller than the sum of its proper divisors (666053516352).

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

231499090368 is a wasteful number, since it uses less digits than its factorization.

231499090368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 231499090368 in words is "two hundred thirty-one billion, four hundred ninety-nine million, ninety thousand, three hundred sixty-eight".