Search a number
-
+
10602228 = 22372131973
BaseRepresentation
bin101000011100…
…011011110100
3201221122112010
4220130123310
510203232403
61015124220
7156055200
oct50343364
921848463
1010602228
115a9167a
123673670
132272a10
14159db00
15de6603
hexa1c6f4

10602228 has 144 divisors (see below), whose sum is σ = 33069120. Its totient is φ = 2612736.

The previous prime is 10602211. The next prime is 10602233. The reversal of 10602228 is 82220601.

10602228 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106022282 = 224814477127968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 145200 + ... + 145272.

Almost surely, 210602228 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 10602228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16534560).

10602228 is an abundant number, since it is smaller than the sum of its proper divisors (22466892).

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

10602228 is a wasteful number, since it uses less digits than its factorization.

10602228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10602228 is about 3256.1062636222. The cubic root of 10602228 is about 219.6843130649.

Adding to 10602228 its reverse (82220601), we get a palindrome (92822829).

The spelling of 10602228 in words is "ten million, six hundred two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 49 52 57 73 76 78 84 91 98 114 133 146 147 156 182 196 219 228 247 266 273 292 294 364 399 438 494 511 532 546 588 637 741 798 876 931 949 988 1022 1092 1274 1387 1482 1533 1596 1729 1862 1898 1911 2044 2548 2774 2793 2847 2964 3066 3458 3577 3724 3796 3822 4161 5187 5548 5586 5694 6132 6643 6916 7154 7644 8322 9709 10374 10731 11172 11388 12103 13286 14308 16644 18031 19418 19929 20748 21462 24206 26572 29127 36062 36309 38836 39858 42924 46501 48412 54093 58254 67963 72124 72618 79716 93002 108186 116508 126217 135926 139503 145236 186004 203889 216372 252434 271852 279006 378651 407778 504868 558012 757302 815556 883519 1514604 1767038 2650557 3534076 5301114 10602228