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232250100 = 223521574931
BaseRepresentation
bin11011101011111…
…01101011110100
3121012000112020120
431311331223310
5433424000400
635013531540
75520043665
oct1565755364
9535015216
10232250100
1110a10aa35
1265943bb0
13391694c4
1422bb936c
15155c9ca0
hexdd7daf4

232250100 has 72 divisors (see below), whose sum is σ = 676394208. Its totient is φ = 61526400.

The previous prime is 232250099. The next prime is 232250111. The reversal of 232250100 is 1052232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 232250100.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 44635 + ... + 49565.

It is an arithmetic number, because the mean of its divisors is an integer number (9394364).

Almost surely, 2232250100 is an apocalyptic number.

232250100 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 232250100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338197104).

232250100 is an abundant number, since it is smaller than the sum of its proper divisors (444144108).

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

232250100 is a wasteful number, since it uses less digits than its factorization.

232250100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 232250100 is about 15239.7539350214. The cubic root of 232250100 is about 614.6840865429.

The spelling of 232250100 in words is "two hundred thirty-two million, two hundred fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 157 300 314 471 628 785 942 1570 1884 2355 3140 3925 4710 4931 7850 9420 9862 11775 14793 15700 19724 23550 24655 29586 47100 49310 59172 73965 98620 123275 147930 246550 295860 369825 493100 739650 774167 1479300 1548334 2322501 3096668 3870835 4645002 7741670 9290004 11612505 15483340 19354175 23225010 38708350 46450020 58062525 77416700 116125050 232250100