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136880226 = 23372172179
BaseRepresentation
bin10000010100010…
…10000001100010
3100112120020101000
420022022001202
5240020131401
621325452430
73251314500
oct1012120142
9315506330
10136880226
11702a115a
1239a11116
1322487322
1414271670
15c03c186
hex828a062

136880226 has 144 divisors (see below), whose sum is σ = 377978400. Its totient is φ = 36602496.

The previous prime is 136880213. The next prime is 136880239. The reversal of 136880226 is 622088631.

It is an interprime number because it is at equal distance from previous prime (136880213) and next prime (136880239).

It is a super-2 number, since 2×1368802262 = 37472392539622152, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 764605 + ... + 764783.

It is an arithmetic number, because the mean of its divisors is an integer number (2624850).

Almost surely, 2136880226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136880226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188989200).

136880226 is an abundant number, since it is smaller than the sum of its proper divisors (241098174).

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

136880226 is a wasteful number, since it uses less digits than its factorization.

136880226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 136880226 is about 11699.5823002362. The cubic root of 136880226 is about 515.3633982743.

The spelling of 136880226 in words is "one hundred thirty-six million, eight hundred eighty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 98 102 119 126 147 153 179 189 238 289 294 306 357 358 378 441 459 537 578 714 833 867 882 918 1071 1074 1253 1323 1611 1666 1734 2023 2142 2499 2506 2601 2646 3043 3213 3222 3759 4046 4833 4998 5202 6069 6086 6426 7497 7518 7803 8771 9129 9666 11277 12138 14161 14994 15606 17542 18207 18258 21301 22491 22554 26313 27387 28322 33831 36414 42483 42602 44982 51731 52626 54621 54774 63903 67662 78939 82161 84966 103462 109242 127449 127806 149107 155193 157878 164322 191709 236817 254898 298214 310386 362117 382347 383418 447321 465579 473634 575127 724234 764694 894642 931158 1086351 1150254 1341963 1396737 2172702 2534819 2683926 2793474 3259053 4025889 5069638 6518106 7604457 8051778 9777159 15208914 19554318 22813371 45626742 68440113 136880226