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203228352 = 2634197199
BaseRepresentation
bin11000001110100…
…00010011000000
3112011102001220000
430013100103000
5404011301402
632055520000
75015261325
oct1407202300
9464361800
10203228352
11a4798518
1258089000
1333147882
141cdc2b4c
1512c95c1c
hexc1d04c0

203228352 has 140 divisors (see below), whose sum is σ = 608533200. Its totient is φ = 67060224.

The previous prime is 203228339. The next prime is 203228359. The reversal of 203228352 is 253822302.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (203228359) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1021149 + ... + 1021347.

Almost surely, 2203228352 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 203228352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304266600).

203228352 is an abundant number, since it is smaller than the sum of its proper divisors (405304848).

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

203228352 is a wasteful number, since it uses less digits than its factorization.

203228352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 203228352 is about 14255.8181806587. The cubic root of 203228352 is about 587.9333535458.

The spelling of 203228352 in words is "two hundred three million, two hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 197 199 216 288 324 394 398 432 576 591 597 648 788 796 864 1182 1194 1296 1576 1592 1728 1773 1791 2364 2388 2592 3152 3184 3546 3582 4728 4776 5184 5319 5373 6304 6368 7092 7164 9456 9552 10638 10746 12608 12736 14184 14328 15957 16119 18912 19104 21276 21492 28368 28656 31914 32238 37824 38208 39203 42552 42984 56736 57312 63828 64476 78406 85104 85968 113472 114624 117609 127656 128952 156812 170208 171936 235218 255312 257904 313624 340416 343872 352827 470436 510624 515808 627248 705654 940872 1021248 1031616 1058481 1254496 1411308 1881744 2116962 2508992 2822616 3175443 3763488 4233924 5645232 6350886 7526976 8467848 11290464 12701772 16935696 22580928 25403544 33871392 50807088 67742784 101614176 203228352