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226067376 = 243311391093
BaseRepresentation
bin11010111100110…
…00001110110000
3120202101102010210
431132120032300
5430333124001
634233224120
75413353363
oct1536301660
9522342123
10226067376
11106677847
1263862040
1337ab32a2
142204a0da
1514ca7dd6
hexd7983b0

226067376 has 80 divisors (see below), whose sum is σ = 607738880. Its totient is φ = 72334080.

The previous prime is 226067363. The next prime is 226067381. The reversal of 226067376 is 673760622.

226067376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2260673762 = 102212916983050752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206286 + ... + 207378.

It is an arithmetic number, because the mean of its divisors is an integer number (7596736).

Almost surely, 2226067376 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 226067376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303869440).

226067376 is an abundant number, since it is smaller than the sum of its proper divisors (381671504).

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

226067376 is a wasteful number, since it uses less digits than its factorization.

226067376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The square root of 226067376 is about 15035.5371038084. The cubic root of 226067376 is about 609.1804599467.

The spelling of 226067376 in words is "two hundred twenty-six million, sixty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 139 186 248 278 372 417 496 556 744 834 1093 1112 1488 1668 2186 2224 3279 3336 4309 4372 6558 6672 8618 8744 12927 13116 17236 17488 25854 26232 33883 34472 51708 52464 67766 68944 101649 103416 135532 151927 203298 206832 271064 303854 406596 455781 542128 607708 813192 911562 1215416 1626384 1823124 2430832 3646248 4709737 7292496 9419474 14129211 18838948 28258422 37677896 56516844 75355792 113033688 226067376