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226648488 = 233112174591
BaseRepresentation
bin11011000001001…
…10000110101000
3120210110221021110
431200212012220
5431010222423
634253510320
75421323523
oct1540460650
9523427243
10226648488
11106a34400
1263aa23a0
1337c57941
142215bbba
1514d70193
hexd8261a8

226648488 has 96 divisors (see below), whose sum is σ = 659594880. Its totient is φ = 64627200.

The previous prime is 226648459. The next prime is 226648501. The reversal of 226648488 is 884846622.

It is a super-2 number, since 2×2266484882 = 102739074225372288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 47073 + ... + 51663.

It is an arithmetic number, because the mean of its divisors is an integer number (6870780).

Almost surely, 2226648488 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 226648488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329797440).

226648488 is an abundant number, since it is smaller than the sum of its proper divisors (432946392).

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

226648488 is a wasteful number, since it uses less digits than its factorization.

226648488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639 (or 4624 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 226648488 is about 15054.8493184090. The cubic root of 226648488 is about 609.7019846801.

The spelling of 226648488 in words is "two hundred twenty-six million, six hundred forty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 121 132 136 187 204 242 264 363 374 408 484 561 726 748 968 1122 1452 1496 2057 2244 2904 4114 4488 4591 6171 8228 9182 12342 13773 16456 18364 24684 27546 36728 49368 50501 55092 78047 101002 110184 151503 156094 202004 234141 303006 312188 404008 468282 555511 606012 624376 858517 936564 1111022 1212024 1666533 1717034 1873128 2222044 2575551 3333066 3434068 4444088 5151102 6666132 6868136 9443687 10302204 13332264 18887374 20604408 28331061 37774748 56662122 75549496 113324244 226648488