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226221696 = 2732359547
BaseRepresentation
bin11010111101111…
…01111010000000
3120202200020211100
431132331322000
5430403043241
634240414400
75414565321
oct1536757200
9522606740
10226221696
11106772788
1263917400
1337b385bc
142208a448
1514cd89b6
hexd7bde80

226221696 has 96 divisors (see below), whose sum is σ = 653983200. Its totient is φ = 75059712.

The previous prime is 226221683. The next prime is 226221701. The reversal of 226221696 is 696122622.

226221696 is a `hidden beast` number, since 22 + 622 + 1 + 6 + 9 + 6 = 666.

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

It is a super-2 number, since 2×2262216962 = 102352511482232832, which contains 22 as substring.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 226221696.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 413295 + ... + 413841.

It is an arithmetic number, because the mean of its divisors is an integer number (6812325).

Almost surely, 2226221696 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 226221696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326991600).

226221696 is an abundant number, since it is smaller than the sum of its proper divisors (427761504).

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

226221696 is a wasteful number, since it uses less digits than its factorization.

226221696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 911 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 226221696 is about 15040.6680702687. The cubic root of 226221696 is about 609.3190430354.

The spelling of 226221696 in words is "two hundred twenty-six million, two hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 359 384 547 576 718 1077 1094 1152 1436 1641 2154 2188 2872 3231 3282 4308 4376 4923 5744 6462 6564 8616 8752 9846 11488 12924 13128 17232 17504 19692 22976 25848 26256 34464 35008 39384 45952 51696 52512 68928 70016 78768 103392 105024 137856 157536 196373 206784 210048 315072 392746 413568 589119 630144 785492 1178238 1570984 1767357 2356476 3141968 3534714 4712952 6283936 7069428 9425904 12567872 14138856 18851808 25135744 28277712 37703616 56555424 75407232 113110848 226221696