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226091925 = 33521721961
BaseRepresentation
bin11010111100111…
…10001110010101
3120202102122211000
431132132032111
5430334420200
634233533513
75413515063
oct1536361625
9522378730
10226091925
11106694234
1263874299
1337ac1507
1422055033
1514cb0300
hexd79e395

226091925 has 144 divisors (see below), whose sum is σ = 472043200. Its totient is φ = 105753600.

The previous prime is 226091881. The next prime is 226091933. The reversal of 226091925 is 529190622.

It is a happy number.

226091925 is a `hidden beast` number, since 22 + 609 + 1 + 9 + 25 = 666.

It is not a de Polignac number, because 226091925 - 28 = 226091669 is a prime.

It is a super-2 number, since 2×2260919252 = 102235117100411250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 226091925.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3706395 + ... + 3706455.

Almost surely, 2226091925 is an apocalyptic number.

226091925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

226091925 is an abundant number, since it is smaller than the sum of its proper divisors (245951275).

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

226091925 is a wasteful number, since it uses less digits than its factorization.

226091925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 226091925 is about 15036.3534475617. The cubic root of 226091925 is about 609.2025097592.

The spelling of 226091925 in words is "two hundred twenty-six million, ninety-one thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 17 19 25 27 45 51 57 61 75 85 95 135 153 171 183 225 255 285 289 305 323 425 459 475 513 549 675 765 855 867 915 969 1037 1159 1275 1425 1445 1525 1615 1647 2295 2565 2601 2745 2907 3111 3477 3825 4275 4335 4575 4845 5185 5491 5795 7225 7803 8075 8235 8721 9333 10431 11475 12825 13005 13725 14535 15555 16473 17385 17629 19703 21675 24225 25925 27455 27999 28975 31293 39015 41175 43605 46665 49419 52155 52887 59109 65025 72675 77775 82365 86925 88145 98515 137275 139995 148257 156465 158661 177327 195075 218025 233325 247095 260775 264435 295545 334951 411825 440725 475983 492575 531981 699975 741285 782325 793305 886635 1004853 1235475 1322175 1477725 1674755 2379915 2659905 3014559 3706425 3966525 4433175 5024265 8373775 9043677 11899575 13299525 15072795 25121325 45218385 75363975 226091925