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223796952 = 233353113173
BaseRepresentation
bin11010101011011…
…01111011011000
3120121010001201000
431111231323120
5424243000302
634112425000
75355146151
oct1525557330
9517101630
10223796952
11105366a65
1262b48160
1337499a42
1421a18928
15149aa31c
hexd56ded8

223796952 has 128 divisors (see below), whose sum is σ = 642686400. Its totient is φ = 72124416.

The previous prime is 223796933. The next prime is 223796977. The reversal of 223796952 is 259697322.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 223796898 and 223796907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1293538 + ... + 1293710.

Almost surely, 2223796952 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 223796952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321343200).

223796952 is an abundant number, since it is smaller than the sum of its proper divisors (418889448).

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

223796952 is a wasteful number, since it uses less digits than its factorization.

223796952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 344 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 223796952 is about 14959.8446515998. The cubic root of 223796952 is about 607.1342349370.

The spelling of 223796952 in words is "two hundred twenty-three million, seven hundred ninety-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 113 159 173 212 216 226 318 339 346 424 452 477 519 636 678 692 904 954 1017 1038 1272 1356 1384 1431 1557 1908 2034 2076 2712 2862 3051 3114 3816 4068 4152 4671 5724 5989 6102 6228 8136 9169 9342 11448 11978 12204 12456 17967 18338 18684 19549 23956 24408 27507 35934 36676 37368 39098 47912 53901 55014 58647 71868 73352 78196 82521 107802 110028 117294 143736 156392 161703 165042 175941 215604 220056 234588 247563 323406 330084 351882 431208 469176 495126 527823 646812 660168 703764 990252 1036097 1055646 1293624 1407528 1980504 2072194 2111292 3108291 4144388 4222584 6216582 8288776 9324873 12433164 18649746 24866328 27974619 37299492 55949238 74598984 111898476 223796952