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226616572 = 2272131931151
BaseRepresentation
bin11011000000111…
…10010011111100
3120210102022111101
431200132103330
5431003212242
634253102444
75421131500
oct1540362374
9523368441
10226616572
11106a12426
1263a87a24
1337c46260
1422150300
1514d659b7
hexd81e4fc

226616572 has 144 divisors (see below), whose sum is σ = 543406080. Its totient is φ = 81648000.

The previous prime is 226616561. The next prime is 226616587. The reversal of 226616572 is 275616622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1500697 + ... + 1500847.

Almost surely, 2226616572 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 226616572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271703040).

226616572 is an abundant number, since it is smaller than the sum of its proper divisors (316789508).

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

226616572 is a wasteful number, since it uses less digits than its factorization.

226616572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 223 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 226616572 is about 15053.7892904079. The cubic root of 226616572 is about 609.6733644995.

Subtracting 226616572 from its reverse (275616622), we obtain a triangular number (49000050 = T9899).

The spelling of 226616572 in words is "two hundred twenty-six million, six hundred sixteen thousand, five hundred seventy-two".

Divisors: 1 2 4 7 13 14 19 26 28 31 38 49 52 62 76 91 98 124 133 151 182 196 217 247 266 302 364 403 434 494 532 589 604 637 806 868 931 988 1057 1178 1274 1519 1612 1729 1862 1963 2114 2356 2548 2821 2869 3038 3458 3724 3926 4123 4228 4681 5642 5738 6076 6916 7399 7657 7852 8246 9362 11284 11476 12103 13741 14798 15314 16492 18724 19747 20083 24206 27482 28861 29596 30628 32767 37297 39494 40166 48412 53599 54964 57722 60853 65534 74594 78988 80332 88939 96187 107198 115444 121706 131068 140581 149188 177878 192374 214396 229369 243412 261079 281162 355756 375193 384748 425971 458738 522158 562324 622573 750386 851942 917476 1044316 1156207 1245146 1500772 1703884 1827553 2312414 2490292 2981797 3655106 4358011 4624828 5963594 7310212 8093449 8716022 11927188 16186898 17432044 32373796 56654143 113308286 226616572