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226993284 = 22327331593
BaseRepresentation
bin11011000011110…
…10010010000100
3120211010110020200
431201322102010
5431102241114
634305130500
75424261000
oct1541722204
9524113220
10226993284
1110714a461
1264029a30
133804886b
142220b700
1514ddc409
hexd87a484

226993284 has 144 divisors (see below), whose sum is σ = 691891200. Its totient is φ = 62657280.

The previous prime is 226993267. The next prime is 226993309. The reversal of 226993284 is 482399622.

It is a super-2 number, since 2×2269932842 = 103051901962209312, which contains 22 as substring.

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, 382492 + ... + 383084.

It is an arithmetic number, because the mean of its divisors is an integer number (4804800).

Almost surely, 2226993284 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 226993284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345945600).

226993284 is an abundant number, since it is smaller than the sum of its proper divisors (464897916).

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

226993284 is a wasteful number, since it uses less digits than its factorization.

226993284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 636 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 226993284 is about 15066.2962933828. The cubic root of 226993284 is about 610.0110040118.

The spelling of 226993284 in words is "two hundred twenty-six million, nine hundred ninety-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 124 126 147 186 196 217 252 279 294 343 372 434 441 558 588 593 651 686 868 882 1029 1116 1186 1302 1372 1519 1764 1779 1953 2058 2372 2604 3038 3087 3558 3906 4116 4151 4557 5337 6076 6174 7116 7812 8302 9114 10633 10674 12348 12453 13671 16604 18228 18383 21266 21348 24906 27342 29057 31899 36766 37359 42532 49812 54684 55149 58114 63798 73532 74718 87171 95697 110298 116228 127596 128681 149436 165447 174342 191394 203399 220596 257362 261513 330894 348684 382788 386043 406798 514724 523026 610197 661788 772086 813596 900767 1046052 1158129 1220394 1544172 1801534 1830591 2316258 2440788 2702301 3603068 3661182 4632516 5404602 6305369 7322364 8106903 10809204 12610738 16213806 18916107 25221476 32427612 37832214 56748321 75664428 113496642 226993284