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223505152 = 2813239281
BaseRepresentation
bin11010101001001…
…10101100000000
3120120120020102121
431110212230000
5424204131102
634102254024
75352522343
oct1524465400
9516506377
10223505152
11105187802
1262a27314
13373c6c90
142198045a
151494db37
hexd526b00

223505152 has 72 divisors (see below), whose sum is σ = 484182720. Its totient is φ = 102359040.

The previous prime is 223505119. The next prime is 223505167. The reversal of 223505152 is 251505322.

It is a happy number.

223505152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 795252 + ... + 795532.

It is an arithmetic number, because the mean of its divisors is an integer number (6724760).

Almost surely, 2223505152 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 223505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242091360).

223505152 is an abundant number, since it is smaller than the sum of its proper divisors (260677568).

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

223505152 is a wasteful number, since it uses less digits than its factorization.

223505152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 223505152 is about 14950.0886953891. The cubic root of 223505152 is about 606.8702473923.

The spelling of 223505152 in words is "two hundred twenty-three million, five hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 239 256 281 416 478 562 832 956 1124 1664 1912 2248 3107 3328 3653 3824 4496 6214 7306 7648 8992 12428 14612 15296 17984 24856 29224 30592 35968 49712 58448 61184 67159 71936 99424 116896 134318 198848 233792 268636 397696 467584 537272 795392 873067 935168 1074544 1746134 2149088 3492268 4298176 6984536 8596352 13969072 17192704 27938144 55876288 111752576 223505152