Search a number
-
+
422655156 = 2232711178969
BaseRepresentation
bin11001001100010…
…011010010110100
31002110022002212200
4121030103102310
51331144431111
6105534544500
713321336530
oct3114232264
91073262780
10422655156
111a763a090
12b9668130
1369744411
14401c0bc0
152718b256
hex193134b4

422655156 has 144 divisors (see below), whose sum is σ = 1410514560. Its totient is φ = 103311360.

The previous prime is 422655151. The next prime is 422655157. The reversal of 422655156 is 651556224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 422655156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422655151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42640 + ... + 51608.

It is an arithmetic number, because the mean of its divisors is an integer number (9795240).

Almost surely, 2422655156 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 422655156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705257280).

422655156 is an abundant number, since it is smaller than the sum of its proper divisors (987859404).

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

422655156 is a wasteful number, since it uses less digits than its factorization.

422655156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9014 (or 9009 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 422655156 is about 20558.5786473676. The cubic root of 422655156 is about 750.4620299793.

The spelling of 422655156 in words is "four hundred twenty-two million, six hundred fifty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 17 18 21 22 28 33 34 36 42 44 51 63 66 68 77 84 99 102 119 126 132 153 154 187 198 204 231 238 252 306 308 357 374 396 462 476 561 612 693 714 748 924 1071 1122 1309 1386 1428 1683 2142 2244 2618 2772 3366 3927 4284 5236 6732 7854 8969 11781 15708 17938 23562 26907 35876 47124 53814 62783 80721 98659 107628 125566 152473 161442 188349 197318 251132 295977 304946 322884 376698 394636 457419 565047 591954 609892 690613 753396 887931 914838 1067311 1130094 1183908 1372257 1381226 1677203 1775862 1829676 2071839 2134622 2260188 2744514 2762452 3201933 3354406 3551724 4143678 4269244 5031609 5489028 6215517 6403866 6708812 8287356 9605799 10063218 11740421 12431034 12807732 15094827 19211598 20126436 23480842 24862068 30189654 35221263 38423196 46961684 60379308 70442526 105663789 140885052 211327578 422655156