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226566216 = 2332103137223
BaseRepresentation
bin11011000000100…
…10000001001000
3120210022202102100
431200102001020
5431000104331
634252033400
75420531622
oct1540220110
9523282370
10226566216
11106988608
1263a62860
1337c29366
1422139c12
1514d55ae6
hexd812048

226566216 has 96 divisors (see below), whose sum is σ = 626895360. Its totient is φ = 73910016.

The previous prime is 226566211. The next prime is 226566239. The reversal of 226566216 is 612665622.

226566216 is a `hidden beast` number, since 2 + 26 + 5 + 6 + 621 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (226566211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1015881 + ... + 1016103.

It is an arithmetic number, because the mean of its divisors is an integer number (6530160).

Almost surely, 2226566216 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 226566216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313447680).

226566216 is an abundant number, since it is smaller than the sum of its proper divisors (400329144).

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

226566216 is a wasteful number, since it uses less digits than its factorization.

226566216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 468 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 226566216 is about 15052.1166617855. The cubic root of 226566216 is about 609.6282030682.

The spelling of 226566216 in words is "two hundred twenty-six million, five hundred sixty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 137 206 223 274 309 411 412 446 548 618 669 822 824 892 927 1096 1233 1236 1338 1644 1784 1854 2007 2466 2472 2676 3288 3708 4014 4932 5352 7416 8028 9864 14111 16056 22969 28222 30551 42333 45938 56444 61102 68907 84666 91653 91876 112888 122204 126999 137814 169332 183306 183752 206721 244408 253998 274959 275628 338664 366612 413442 507996 549918 551256 733224 826884 1015992 1099836 1653768 2199672 3146753 6293506 9440259 12587012 18880518 25174024 28320777 37761036 56641554 75522072 113283108 226566216