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228030984 = 23337114869
BaseRepresentation
bin11011001011101…
…11101000001000
3120220002011201000
431211313220020
5431333442414
634343255000
75436142236
oct1545675010
9526064630
10228030984
11107799065
126444a460
133831cc9c
14223db956
1515044b09
hexd977a08

228030984 has 64 divisors (see below), whose sum is σ = 642384000. Its totient is φ = 74934720.

The previous prime is 228030967. The next prime is 228031007. The reversal of 228030984 is 489030822.

228030984 is digitally balanced in base 2, because in such base 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).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7902 + ... + 22770.

It is an arithmetic number, because the mean of its divisors is an integer number (10037250).

Almost surely, 2228030984 is an apocalyptic number.

228030984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228030984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321192000).

228030984 is an abundant number, since it is smaller than the sum of its proper divisors (414353016).

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

228030984 is a wasteful number, since it uses less digits than its factorization.

228030984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14955 (or 14945 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 228030984 is about 15100.6948184512. The cubic root of 228030984 is about 610.9391463935.

The spelling of 228030984 in words is "two hundred twenty-eight million, thirty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 284 426 568 639 852 1278 1704 1917 2556 3834 5112 7668 14869 15336 29738 44607 59476 89214 118952 133821 178428 267642 356856 401463 535284 802926 1055699 1070568 1605852 2111398 3167097 3211704 4222796 6334194 8445592 9501291 12668388 19002582 25336776 28503873 38005164 57007746 76010328 114015492 228030984