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228220884 = 223231375527
BaseRepresentation
bin11011001101001…
…01111111010100
3120220102211012100
431212211333110
5431411032014
634351322100
75440563003
oct1546457724
9526384170
10228220884
11107908801
1264520330
1338388558
142244ac3a
1515081009
hexd9a5fd4

228220884 has 72 divisors (see below), whose sum is σ = 611706368. Its totient is φ = 71616960.

The previous prime is 228220879. The next prime is 228220897. The reversal of 228220884 is 488022822.

228220884 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

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

228220884 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38529 + ... + 44055.

Almost surely, 2228220884 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 228220884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305853184).

228220884 is an abundant number, since it is smaller than the sum of its proper divisors (383485484).

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

228220884 is a wasteful number, since it uses less digits than its factorization.

228220884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5605 (or 5600 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 228220884 is about 15106.9813000480. The cubic root of 228220884 is about 611.1086922904.

The spelling of 228220884 in words is "two hundred twenty-eight million, two hundred twenty thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 37 62 74 93 111 124 148 186 222 279 333 372 444 558 666 1116 1147 1332 2294 3441 4588 5527 6882 10323 11054 13764 16581 20646 22108 33162 41292 49743 66324 99486 171337 198972 204499 342674 408998 514011 613497 685348 817996 1028022 1226994 1542033 1840491 2056044 2453988 3084066 3680982 6168132 6339469 7361964 12678938 19018407 25357876 38036814 57055221 76073628 114110442 228220884