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232225440 = 253517149191
BaseRepresentation
bin11011101011101…
…11101010100000
3121011222021102020
431311313222200
5433422203230
635013221440
75516612046
oct1565675240
9534867366
10232225440
1110a0a3457
1265931880
133915b205
1422bb0396
15155c2810
hexdd77aa0

232225440 has 192 divisors, whose sum is σ = 783820800. Its totient is φ = 57589760.

The previous prime is 232225439. The next prime is 232225459. The reversal of 232225440 is 44522232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 232225440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1215745 + ... + 1215935.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2232225440 is an apocalyptic number.

232225440 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 232225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391910400).

232225440 is an abundant number, since it is smaller than the sum of its proper divisors (551595360).

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

232225440 is a wasteful number, since it uses less digits than its factorization.

232225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 232225440 is about 15238.9448453625. The cubic root of 232225440 is about 614.6623303326.

Adding to 232225440 its reverse (44522232), we get a palindrome (276747672).

The spelling of 232225440 in words is "two hundred thirty-two million, two hundred twenty-five thousand, four hundred forty".