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231212298240 = 21232571121481
BaseRepresentation
bin1101011101010101010…
…0111011000000000000
3211002210120201201102100
43113111110323000000
512242010322020430
6254114545550400
722463441052030
oct3272524730000
9732716651370
10231212298240
118a069350900
1238988645400
1318a598c33c1
14b29553b8c0
156033717960
hex35d553b000

231212298240 has 936 divisors, whose sum is σ = 1007445033504. Its totient is φ = 48011673600.

The previous prime is 231212298217. The next prime is 231212298281. The reversal of 231212298240 is 42892212132.

It is a happy number.

231212298240 is a `hidden beast` number, since 2 + 3 + 121 + 2 + 298 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 231212298195 and 231212298204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 156118300 + ... + 156119780.

It is an arithmetic number, because the mean of its divisors is an integer number (1076330164).

Almost surely, 2231212298240 is an apocalyptic number.

231212298240 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 231212298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503722516752).

231212298240 is an abundant number, since it is smaller than the sum of its proper divisors (776232735264).

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

231212298240 is a wasteful number, since it uses less digits than its factorization.

231212298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 231212298240 in words is "two hundred thirty-one billion, two hundred twelve million, two hundred ninety-eight thousand, two hundred forty".