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100223420 = 225112329683
BaseRepresentation
bin1011111100101…
…00100110111100
320222120212200112
411332110212330
5201124122140
613540045152
72324612363
oct576244674
9228525615
10100223420
1151634380
12296937b8
13179c13cb
14d44c7da
158beac65
hex5f949bc

100223420 has 96 divisors (see below), whose sum is σ = 248209920. Its totient is φ = 33608960.

The previous prime is 100223399. The next prime is 100223437. The reversal of 100223420 is 24322001.

It is a junction number, because it is equal to n+sod(n) for n = 100223395 and 100223404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146399 + ... + 147081.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2100223420 is an apocalyptic number.

100223420 is a gapful number since it is divisible by the number (10) 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 100223420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960).

100223420 is an abundant number, since it is smaller than the sum of its proper divisors (147986500).

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

100223420 is a wasteful number, since it uses less digits than its factorization.

100223420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 100223420 is about 10011.1647673984. The cubic root of 100223420 is about 464.5043008373.

Adding to 100223420 its reverse (24322001), we get a palindrome (124545421).

The spelling of 100223420 in words is "one hundred million, two hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 29 44 46 55 58 92 110 115 116 145 220 230 253 290 319 460 506 580 638 667 683 1012 1265 1276 1334 1366 1595 2530 2668 2732 3190 3335 3415 5060 6380 6670 6830 7337 7513 13340 13660 14674 15026 15709 19807 29348 30052 31418 36685 37565 39614 62836 73370 75130 78545 79228 99035 146740 150260 157090 172799 198070 217877 314180 345598 396140 435754 455561 691196 863995 871508 911122 1089385 1727990 1822244 2178770 2277805 3455980 4357540 4555610 5011171 9111220 10022342 20044684 25055855 50111710 100223420