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100221630 = 23517414793
BaseRepresentation
bin1011111100101…
…00001010111110
320222120210020020
411332110022332
5201124043010
613540033010
72324604225
oct576241276
9228523206
10100221630
1151632aa3
1229692766
13179c0652
14d44bcbc
158bea470
hex5f942be

100221630 has 64 divisors (see below), whose sum is σ = 260947008. Its totient is φ = 24535040.

The previous prime is 100221629. The next prime is 100221631. The reversal of 100221630 is 36122001.

It is an interprime number because it is at equal distance from previous prime (100221629) and next prime (100221631).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18514 + ... + 23306.

It is an arithmetic number, because the mean of its divisors is an integer number (4077297).

Almost surely, 2100221630 is an apocalyptic number.

100221630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100221630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130473504).

100221630 is an abundant number, since it is smaller than the sum of its proper divisors (160725378).

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

100221630 is a wasteful number, since it uses less digits than its factorization.

100221630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4861.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 100221630 is about 10011.0753668125. The cubic root of 100221630 is about 464.5015354569.

Adding to 100221630 its reverse (36122001), we get a palindrome (136343631).

The spelling of 100221630 in words is "one hundred million, two hundred twenty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 41 51 82 85 102 123 170 205 246 255 410 510 615 697 1230 1394 2091 3485 4182 4793 6970 9586 10455 14379 20910 23965 28758 47930 71895 81481 143790 162962 196513 244443 393026 407405 488886 589539 814810 982565 1179078 1222215 1965130 2444430 2947695 3340721 5895390 6681442 10022163 16703605 20044326 33407210 50110815 100221630