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226090656 = 25331123789
BaseRepresentation
bin11010111100111…
…01111010100000
3120202102121002000
431132131322200
5430334400111
634233524000
75413511301
oct1536357240
9522377060
10226090656
11106693290
1263873600
1337ac0a6c
14220547a8
1514caec56
hexd79dea0

226090656 has 96 divisors (see below), whose sum is σ = 719409600. Its totient is φ = 68509440.

The previous prime is 226090649. The next prime is 226090691. The reversal of 226090656 is 656090622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2260906562 = 102233969461020672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 226090656.

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, 2391 + ... + 21398.

It is an arithmetic number, because the mean of its divisors is an integer number (7493850).

Almost surely, 2226090656 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 226090656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359704800).

226090656 is an abundant number, since it is smaller than the sum of its proper divisors (493318944).

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

226090656 is a wasteful number, since it uses less digits than its factorization.

226090656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23819 (or 23805 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 226090656 is about 15036.3112497713. The cubic root of 226090656 is about 609.2013699877.

The spelling of 226090656 in words is "two hundred twenty-six million, ninety thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 23789 47578 71367 95156 142734 190312 214101 261679 285468 380624 428202 523358 570936 642303 761248 785037 856404 1046716 1141872 1284606 1570074 1712808 2093432 2283744 2355111 2569212 3140148 3425616 4186864 4710222 5138424 6280296 6851232 7065333 8373728 9420444 10276848 12560592 14130666 18840888 20553696 25121184 28261332 37681776 56522664 75363552 113045328 226090656