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223704252 = 2232192511303
BaseRepresentation
bin11010101010101…
…11010010111100
3120120221100112200
431111113102330
5424232014002
634110431500
75354311662
oct1525272274
9516840480
10223704252
11105303352
1262b02590
13374667a5
14219d2c32
151498cb1c
hexd5574bc

223704252 has 72 divisors (see below), whose sum is σ = 598066560. Its totient is φ = 70308000.

The previous prime is 223704251. The next prime is 223704253. The reversal of 223704252 is 252407322.

223704252 is a `hidden beast` number, since 2 + 237 + 0 + 425 + 2 = 666.

223704252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223704251) and next prime (223704253).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223704251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171033 + ... + 172335.

It is an arithmetic number, because the mean of its divisors is an integer number (8306480).

Almost surely, 2223704252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223704252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299033280).

223704252 is an abundant number, since it is smaller than the sum of its proper divisors (374362308).

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

223704252 is a wasteful number, since it uses less digits than its factorization.

223704252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 223704252 is about 14956.7460364880. The cubic root of 223704252 is about 607.0503953737.

The spelling of 223704252 in words is "two hundred twenty-three million, seven hundred four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 251 342 502 684 753 1004 1303 1506 2259 2606 3012 3909 4518 4769 5212 7818 9036 9538 11727 14307 15636 19076 23454 24757 28614 42921 46908 49514 57228 74271 85842 99028 148542 171684 222813 297084 327053 445626 654106 891252 981159 1308212 1962318 2943477 3924636 5886954 6214007 11773908 12428014 18642021 24856028 37284042 55926063 74568084 111852126 223704252