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223625424 = 243112139277
BaseRepresentation
bin11010101010001…
…00000011010000
3120120210100102010
431111010003100
5424222003144
634105022520
75353533111
oct1525040320
9516710363
10223625424
1110525a100
1262a84a40
1337439949
14219b2208
15149745b9
hexd5440d0

223625424 has 120 divisors (see below), whose sum is σ = 641868640. Its totient is φ = 67034880.

The previous prime is 223625419. The next prime is 223625443. The reversal of 223625424 is 424526322.

It is a junction number, because it is equal to n+sod(n) for n = 223625391 and 223625400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807174 + ... + 807450.

Almost surely, 2223625424 is an apocalyptic number.

223625424 is a gapful number since it is divisible by the number (24) 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 223625424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320934320).

223625424 is an abundant number, since it is smaller than the sum of its proper divisors (418243216).

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

223625424 is a wasteful number, since it uses less digits than its factorization.

223625424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 432 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 223625424 is about 14954.1106054489. The cubic root of 223625424 is about 606.9790836754.

The spelling of 223625424 in words is "two hundred twenty-three million, six hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 139 176 242 264 277 278 363 417 484 528 554 556 726 831 834 968 1108 1112 1452 1529 1662 1668 1936 2216 2224 2904 3047 3058 3324 3336 4432 4587 5808 6094 6116 6648 6672 9141 9174 12188 12232 13296 16819 18282 18348 24376 24464 33517 33638 36564 36696 38503 48752 50457 67034 67276 73128 73392 77006 100551 100914 115509 134068 134552 146256 154012 201102 201828 231018 268136 269104 308024 402204 403656 423533 462036 536272 616048 804408 807312 847066 924072 1270599 1608816 1694132 1848144 2541198 3388264 4658863 5082396 6776528 9317726 10164792 13976589 18635452 20329584 27953178 37270904 55906356 74541808 111812712 223625424