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232226280 = 2332511132347
BaseRepresentation
bin11011101011101…
…11110111101000
3121011222022120100
431311313313220
5433422220110
635013225400
75516614356
oct1565676750
9534868510
10232226280
1110a0a4050
1265932260
133915b700
1422bb07d6
15155c2bc0
hexdd77de8

232226280 has 288 divisors, whose sum is σ = 894123360. Its totient is φ = 51816960.

The previous prime is 232226261. The next prime is 232226297. The reversal of 232226280 is 82622232.

It is a happy number.

232226280 is a `hidden beast` number, since 2 + 32 + 2 + 2 + 628 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 669067 + ... + 669413.

It is an arithmetic number, because the mean of its divisors is an integer number (3104595).

Almost surely, 2232226280 is an apocalyptic number.

232226280 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 232226280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447061680).

232226280 is an abundant number, since it is smaller than the sum of its proper divisors (661897080).

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

232226280 is a wasteful number, since it uses less digits than its factorization.

232226280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 232226280 is about 15238.9724063009. The cubic root of 232226280 is about 614.6630714454.

The spelling of 232226280 in words is "two hundred thirty-two million, two hundred twenty-six thousand, two hundred eighty".