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438820228 = 227112973673
BaseRepresentation
bin11010001001111…
…101110110000100
31010120201101012001
4122021331312010
51344314221403
6111313235044
713605624160
oct3211756604
91116641161
10438820228
11205780150
12102b62a84
136cbb4152
14423cbca0
15287d0c1d
hex1a27dd84

438820228 has 96 divisors (see below), whose sum is σ = 1005500160. Its totient is φ = 162570240.

The previous prime is 438820189. The next prime is 438820237. The reversal of 438820228 is 822028834.

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, 651700 + ... + 652372.

It is an arithmetic number, because the mean of its divisors is an integer number (10473960).

Almost surely, 2438820228 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 438820228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502750080).

438820228 is an abundant number, since it is smaller than the sum of its proper divisors (566679932).

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

438820228 is a wasteful number, since it uses less digits than its factorization.

438820228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 438820228 is about 20948.0363757561. The cubic root of 438820228 is about 759.9100932427.

The spelling of 438820228 in words is "four hundred thirty-eight million, eight hundred twenty thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 73 77 116 146 154 203 292 308 319 406 511 638 673 803 812 1022 1276 1346 1606 2044 2117 2233 2692 3212 4234 4466 4711 5621 7403 8468 8932 9422 11242 14806 14819 18844 19517 22484 23287 29612 29638 39034 46574 49129 51821 59276 78068 93148 98258 103642 136619 163009 196516 207284 214687 273238 326018 343903 429374 540419 546476 652036 687806 858748 1080838 1375612 1424741 1502809 2161676 2849482 3005618 3782933 5698964 6011236 7565866 9973187 15131732 15672151 19946374 31344302 39892748 62688604 109705057 219410114 438820228