Search a number
-
+
22328628 = 22372271171
BaseRepresentation
bin101010100101…
…1010100110100
31120000102010020
41111023110310
521204004003
62114325140
7360535020
oct125132464
946012106
1022328628
1111670913
1275897b0
13481a30a
142d73380
151e60d53
hex154b534

22328628 has 48 divisors (see below), whose sum is σ = 59856384. Its totient is φ = 6346080.

The previous prime is 22328627. The next prime is 22328659. The reversal of 22328628 is 82682322.

It is a super-3 number, since 3×223286283 (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22328627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18483 + ... + 19653.

It is an arithmetic number, because the mean of its divisors is an integer number (1247008).

Almost surely, 222328628 is an apocalyptic number.

22328628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22328628 is an abundant number, since it is smaller than the sum of its proper divisors (37527756).

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

22328628 is a wasteful number, since it uses less digits than its factorization.

22328628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1410 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 22328628 is about 4725.3177670925. The cubic root of 22328628 is about 281.5922379974.

The spelling of 22328628 in words is "twenty-two million, three hundred twenty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 227 454 681 908 1171 1362 1589 2342 2724 3178 3513 4684 4767 6356 7026 8197 9534 14052 16394 19068 24591 32788 49182 98364 265817 531634 797451 1063268 1594902 1860719 3189804 3721438 5582157 7442876 11164314 22328628