Search a number
-
+
422724632 = 23112617159
BaseRepresentation
bin11001001100100…
…100010000011000
31002110102122011212
4121030210100120
51331204142012
6105540242252
713322046221
oct3114442030
91073378155
10422724632
111a7687300
12b96a0388
1369769c25
14401dc248
15271a1b22
hex19324418

422724632 has 48 divisors (see below), whose sum is σ = 885620400. Its totient is φ = 188971200.

The previous prime is 422724629. The next prime is 422724647. The reversal of 422724632 is 236427224.

It is a super-2 number, since 2×4227246322 = 357392228999070848, 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 11 ways as a sum of consecutive naturals, for example, 55469 + ... + 62627.

It is an arithmetic number, because the mean of its divisors is an integer number (18450425).

Almost surely, 2422724632 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 422724632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442810200).

422724632 is an abundant number, since it is smaller than the sum of its proper divisors (462895768).

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

422724632 is a wasteful number, since it uses less digits than its factorization.

422724632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7248 (or 7233 counting only the distinct ones).

The product of its digits is 32256, while the sum is 32.

The square root of 422724632 is about 20560.2682861873. The cubic root of 422724632 is about 750.5031480103.

The spelling of 422724632 in words is "four hundred twenty-two million, seven hundred twenty-four thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 61 88 121 122 242 244 484 488 671 968 1342 2684 5368 7159 7381 14318 14762 28636 29524 57272 59048 78749 157498 314996 436699 629992 866239 873398 1732478 1746796 3464956 3493592 4803689 6929912 9607378 19214756 38429512 52840579 105681158 211362316 422724632