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228531672 = 23334722511
BaseRepresentation
bin11011001111100…
…01110111011000
3120221000121112000
431213301313120
5432001003142
634402121000
75443326045
oct1547616730
9527017460
10228531672
11108000256
1264650160
1338466b55
14224cc1cc
15150e314c
hexd9f1dd8

228531672 has 64 divisors (see below), whose sum is σ = 648345600. Its totient is φ = 74553120.

The previous prime is 228531671. The next prime is 228531701. The reversal of 228531672 is 276135822.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228531671) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1104 + ... + 21407.

It is an arithmetic number, because the mean of its divisors is an integer number (10130400).

Almost surely, 2228531672 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 228531672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324172800).

228531672 is an abundant number, since it is smaller than the sum of its proper divisors (419813928).

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

228531672 is a wasteful number, since it uses less digits than its factorization.

228531672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22573 (or 22563 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 228531672 is about 15117.2640381783. The cubic root of 228531672 is about 611.3859662155.

The spelling of 228531672 in words is "two hundred twenty-eight million, five hundred thirty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 846 1128 1269 1692 2538 3384 5076 10152 22511 45022 67533 90044 135066 180088 202599 270132 405198 540264 607797 810396 1058017 1215594 1620792 2116034 2431188 3174051 4232068 4862376 6348102 8464136 9522153 12696204 19044306 25392408 28566459 38088612 57132918 76177224 114265836 228531672