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226625952 = 2537292401
BaseRepresentation
bin11011000001000…
…00100110100000
3120210102210100210
431200200212200
5431004012302
634253214120
75421201030
oct1540404640
9523383323
10226625952
11106a19483
1263a91340
1337c4a5c7
14221538c0
1514d6866c
hexd8209a0

226625952 has 144 divisors (see below), whose sum is σ = 705886272. Its totient is φ = 62361600.

The previous prime is 226625947. The next prime is 226625989. The reversal of 226625952 is 259526622.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 226625952.

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, 564952 + ... + 565352.

It is an arithmetic number, because the mean of its divisors is an integer number (4901988).

Almost surely, 2226625952 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 226625952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352943136).

226625952 is an abundant number, since it is smaller than the sum of its proper divisors (479260320).

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

226625952 is a wasteful number, since it uses less digits than its factorization.

226625952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 442 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 226625952 is about 15054.1008366491. The cubic root of 226625952 is about 609.6817761486.

The spelling of 226625952 in words is "two hundred twenty-six million, six hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 401 406 464 609 672 696 802 812 841 928 1203 1218 1392 1604 1624 1682 2406 2436 2523 2784 2807 3208 3248 3364 4812 4872 5046 5614 5887 6416 6496 6728 8421 9624 9744 10092 11228 11629 11774 12832 13456 16842 17661 19248 19488 20184 22456 23258 23548 26912 33684 34887 35322 38496 40368 44912 46516 47096 67368 69774 70644 80736 81403 89824 93032 94192 134736 139548 141288 162806 186064 188384 244209 269472 279096 282576 325612 337241 372128 488418 558192 565152 651224 674482 976836 1011723 1116384 1302448 1348964 1953672 2023446 2360687 2604896 2697928 3907344 4046892 4721374 5395856 7082061 7814688 8093784 9442748 10791712 14164122 16187568 18885496 28328244 32375136 37770992 56656488 75541984 113312976 226625952