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100220232 = 23375910111
BaseRepresentation
bin1011111100100…
…11110101001000
320222120201022110
411332103311020
5201124021412
613540022320
72324600160
oct576236510
9228521273
10100220232
1151631a42
12296919a0
13179bcb18
14d44b5a0
158be9d3c
hex5f93d48

100220232 has 64 divisors (see below), whose sum is σ = 291225600. Its totient is φ = 28146240.

The previous prime is 100220227. The next prime is 100220233. The reversal of 100220232 is 232022001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100220233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4857 + ... + 14967.

It is an arithmetic number, because the mean of its divisors is an integer number (4550400).

Almost surely, 2100220232 is an apocalyptic number.

100220232 is a gapful number since it is divisible by the number (12) 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 100220232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145612800).

100220232 is an abundant number, since it is smaller than the sum of its proper divisors (191005368).

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

100220232 is a wasteful number, since it uses less digits than its factorization.

100220232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10186 (or 10182 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 100220232 is about 10011.0055439002. The cubic root of 100220232 is about 464.4993756565.

Adding to 100220232 its reverse (232022001), we get a palindrome (332242233).

The spelling of 100220232 in words is "one hundred million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1652 2478 3304 4956 9912 10111 20222 30333 40444 60666 70777 80888 121332 141554 212331 242664 283108 424662 566216 596549 849324 1193098 1698648 1789647 2386196 3579294 4175843 4772392 7158588 8351686 12527529 14317176 16703372 25055058 33406744 50110116 100220232