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22284144 = 2432179103
BaseRepresentation
bin101010100000…
…0011101110000
31112221011002200
41111000131300
521201043034
62113343200
7360261231
oct125003560
945834080
1022284144
1111640453
127567b00
134802cac
142d61088
151e52a99
hex1540770

22284144 has 60 divisors (see below), whose sum is σ = 66040416. Its totient is φ = 6990336.

The previous prime is 22284137. The next prime is 22284173. The reversal of 22284144 is 44148222.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2104 + ... + 6999.

Almost surely, 222284144 is an apocalyptic number.

22284144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22284144 is an abundant number, since it is smaller than the sum of its proper divisors (43756272).

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

22284144 is a wasteful number, since it uses less digits than its factorization.

22284144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9134 (or 9125 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 22284144 is about 4720.6084353608. The cubic root of 22284144 is about 281.4051138439.

The spelling of 22284144 in words is "twenty-two million, two hundred eighty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 9103 18206 27309 36412 54618 72824 81927 109236 145648 154751 163854 218472 309502 327708 436944 464253 619004 655416 928506 1238008 1310832 1392759 1857012 2476016 2785518 3714024 5571036 7428048 11142072 22284144