Search a number
-
+
228662622 = 23329151967
BaseRepresentation
bin11011010000100…
…01110101011110
3120221021021011000
431220101311132
5432014200442
634405011130
75444412606
oct1550216536
9527237130
10228662622
1110808a681
12646b3aa6
13384b1636
1422523c06
151511bd4c
hexda11d5e

228662622 has 64 divisors (see below), whose sum is σ = 529689600. Its totient is φ = 73029600.

The previous prime is 228662591. The next prime is 228662633. The reversal of 228662622 is 226266822.

It is a happy number.

228662622 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 626 + 22 = 666.

Its product of digits (55296) is a multiple of the sum of its prime divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235983 + ... + 236949.

It is an arithmetic number, because the mean of its divisors is an integer number (8276400).

Almost surely, 2228662622 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228662622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264844800).

228662622 is an abundant number, since it is smaller than the sum of its proper divisors (301026978).

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

228662622 is a wasteful number, since it uses less digits than its factorization.

228662622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1152 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 228662622 is about 15121.5945587759. The cubic root of 228662622 is about 611.5027198433.

The spelling of 228662622 in words is "two hundred twenty-eight million, six hundred sixty-two thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 151 174 261 302 453 522 783 906 967 1359 1566 1934 2718 2901 4077 4379 5802 8154 8703 8758 13137 17406 26109 26274 28043 39411 52218 56086 78822 84129 118233 146017 168258 236466 252387 292034 438051 504774 757161 876102 1314153 1514322 2628306 3942459 4234493 7884918 8468986 12703479 25406958 38110437 76220874 114331311 228662622