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232244820 = 2236517937
BaseRepresentation
bin11011101011111…
…00011001010100
3121012000021000000
431311330121110
5433423313240
635013451300
75520022413
oct1565743124
9535007000
10232244820
1110a106a75
1265940b30
1339166c92
1422bb747a
15155c8430
hexdd7c654

232244820 has 168 divisors, whose sum is σ = 775076904. Its totient is φ = 58226688.

The previous prime is 232244783. The next prime is 232244843. The reversal of 232244820 is 28442232.

It can be written as a sum of positive squares in 4 ways, for example, as 8503056 + 223741764 = 2916^2 + 14958^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 247392 + ... + 248328.

It is an arithmetic number, because the mean of its divisors is an integer number (4613553).

Almost surely, 2232244820 is an apocalyptic number.

232244820 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 232244820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387538452).

232244820 is an abundant number, since it is smaller than the sum of its proper divisors (542832084).

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

232244820 is a wasteful number, since it uses less digits than its factorization.

232244820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 232244820 is about 15239.5807028934. The cubic root of 232244820 is about 614.6794284085.

The spelling of 232244820 in words is "two hundred thirty-two million, two hundred forty-four thousand, eight hundred twenty".