Search a number
-
+
422745732 = 2232172179227
BaseRepresentation
bin11001001100101…
…001011010000100
31002110110201010100
4121030221122010
51331210330412
6105540524100
713322164563
oct3114513204
91073421110
10422745732
111a76a1142
12b96b0630
1369776706
1440205bda
15271a7edc
hex19329684

422745732 has 108 divisors (see below), whose sum is σ = 1146534480. Its totient is φ = 131304192.

The previous prime is 422745641. The next prime is 422745779. The reversal of 422745732 is 237547224.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1862203 + ... + 1862429.

It is an arithmetic number, because the mean of its divisors is an integer number (10616060).

Almost surely, 2422745732 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 422745732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573267240).

422745732 is an abundant number, since it is smaller than the sum of its proper divisors (723788748).

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

422745732 is a wasteful number, since it uses less digits than its factorization.

422745732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 428 counting only the distinct ones).

The product of its digits is 94080, while the sum is 36.

The square root of 422745732 is about 20560.7814053844. The cubic root of 422745732 is about 750.5156347465.

The spelling of 422745732 in words is "four hundred twenty-two million, seven hundred forty-five thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 179 204 227 289 306 358 454 537 578 612 681 716 867 908 1074 1156 1362 1611 1734 2043 2148 2601 2724 3043 3222 3468 3859 4086 5202 6086 6444 7718 8172 9129 10404 11577 12172 15436 18258 23154 27387 34731 36516 40633 46308 51731 54774 65603 69462 81266 103462 109548 121899 131206 138924 155193 162532 196809 206924 243798 262412 310386 365697 393618 465579 487596 590427 620772 690761 731394 787236 931158 1180854 1381522 1462788 1862316 2072283 2361708 2763044 4144566 6216849 8289132 11742937 12433698 23485874 24867396 35228811 46971748 70457622 105686433 140915244 211372866 422745732