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226332630 = 237579131
BaseRepresentation
bin11010111110110…
…00111111010110
3120202212220000000
431133120333112
5430420121010
634243032130
75415536616
oct1537307726
9522786000
10226332630
11106839067
126396b646
1337b76c44
14220b8a46
1514d0b7c0
hexd7d8fd6

226332630 has 128 divisors (see below), whose sum is σ = 623462400. Its totient is φ = 59136480.

The previous prime is 226332629. The next prime is 226332647. The reversal of 226332630 is 36233622.

226332630 is a `hidden beast` number, since 2 + 2 + 633 + 26 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 226332594 and 226332603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1727665 + ... + 1727795.

It is an arithmetic number, because the mean of its divisors is an integer number (4870800).

Almost surely, 2226332630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226332630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311731200).

226332630 is an abundant number, since it is smaller than the sum of its proper divisors (397129770).

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

226332630 is an equidigital number, since it uses as much as digits as its factorization.

226332630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 226332630 is about 15044.3554198909. The cubic root of 226332630 is about 609.4186255158.

The spelling of 226332630 in words is "two hundred twenty-six million, three hundred thirty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 81 90 131 135 158 162 237 243 262 270 393 395 405 474 486 655 711 729 786 790 810 1179 1185 1215 1310 1422 1458 1965 2133 2187 2358 2370 2430 3537 3555 3645 3930 4266 4374 5895 6399 7074 7110 7290 10349 10611 10665 10935 11790 12798 17685 19197 20698 21222 21330 21870 31047 31833 31995 35370 38394 51745 53055 57591 62094 63666 63990 93141 95499 95985 103490 106110 115182 155235 159165 172773 186282 190998 191970 279423 286497 287955 310470 318330 345546 465705 477495 558846 572994 575910 838269 863865 931410 954990 1397115 1432485 1676538 1727730 2514807 2794230 2864970 4191345 5029614 7544421 8382690 12574035 15088842 22633263 25148070 37722105 45266526 75444210 113166315 226332630