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226095156 = 223274179277
BaseRepresentation
bin11010111100111…
…11000000110100
3120202102211020200
431132133000310
5430340021111
634234000500
75413530360
oct1536370064
9522384220
10226095156
11106696701
1263876130
1337ac2b21
14220562a0
1514cb1256
hexd79f034

226095156 has 144 divisors (see below), whose sum is σ = 680010240. Its totient is φ = 62000640.

The previous prime is 226095143. The next prime is 226095167. The reversal of 226095156 is 651590622.

226095156 = T1 + T2 + ... + T1106.

226095156 is a nontrivial binomial coefficient, being equal to C(1108, 3).

It is a super-2 number, since 2×2260951562 = 102238039133328672, which contains 22 as substring.

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 226095156.

It is a congruent number.

It is an unprimeable number.

It is the 1106-th tetrahedral number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 816090 + ... + 816366.

Almost surely, 2226095156 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 226095156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340005120).

226095156 is an abundant number, since it is smaller than the sum of its proper divisors (453915084).

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

226095156 is a wasteful number, since it uses less digits than its factorization.

226095156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 226095156 is about 15036.4608867911. The cubic root of 226095156 is about 609.2054117115.

The spelling of 226095156 in words is "two hundred twenty-six million, ninety-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 79 82 84 123 126 158 164 237 246 252 277 287 316 369 474 492 553 554 574 711 738 831 861 948 1106 1108 1148 1422 1476 1659 1662 1722 1939 2212 2493 2583 2844 3239 3318 3324 3444 3878 4977 4986 5166 5817 6478 6636 7756 9717 9954 9972 10332 11357 11634 12956 17451 19434 19908 21883 22673 22714 23268 29151 34071 34902 38868 43766 45346 45428 58302 65649 68019 68142 69804 79499 87532 90692 102213 116604 131298 136038 136284 153181 158998 196947 204057 204426 238497 262596 272076 306362 317996 393894 408114 408852 459543 476994 612724 715491 787788 816228 897203 919086 953988 1378629 1430982 1794406 1838172 2691609 2757258 2861964 3588812 5383218 5514516 6280421 8074827 10766436 12560842 16149654 18841263 25121684 32299308 37682526 56523789 75365052 113047578 226095156