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226890810 = 232567191197
BaseRepresentation
bin11011000011000…
…01010000111010
3120210221020200100
431201201100322
5431041001220
634303020230
75423353146
oct1541412072
9523836610
10226890810
1110708a473
1263b9a676
1338011023
14221c2226
1514dbbd90
hexd86143a

226890810 has 96 divisors (see below), whose sum is σ = 604910592. Its totient is φ = 58988160.

The previous prime is 226890787. The next prime is 226890817. The reversal of 226890810 is 18098622.

It is a super-2 number, since 2×2268908102 = 102958879324912200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226890817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1151632 + ... + 1151828.

It is an arithmetic number, because the mean of its divisors is an integer number (6301152).

Almost surely, 2226890810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226890810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302455296).

226890810 is an abundant number, since it is smaller than the sum of its proper divisors (378019782).

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

226890810 is a wasteful number, since it uses less digits than its factorization.

226890810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 226890810 is about 15062.8951400453. The cubic root of 226890810 is about 609.9191956032.

The spelling of 226890810 in words is "two hundred twenty-six million, eight hundred ninety thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 191 197 201 335 382 394 402 573 591 603 670 955 985 1005 1146 1182 1206 1719 1773 1910 1970 2010 2865 2955 3015 3438 3546 5730 5910 6030 8595 8865 12797 13199 17190 17730 25594 26398 37627 38391 39597 63985 65995 75254 76782 79194 112881 115173 118791 127970 131990 188135 191955 197985 225762 230346 237582 338643 376270 383910 395970 564405 575865 593955 677286 1128810 1151730 1187910 1693215 2521009 3386430 5042018 7563027 12605045 15126054 22689081 25210090 37815135 45378162 75630270 113445405 226890810