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2221664928 = 25373306049
BaseRepresentation
bin1000010001101011…
…1110101010100000
312201211110021100020
42010122332222200
514022221234203
61004241553440
7106024561140
oct20432765240
95654407306
102221664928
11a4008781a
12520045880
13295378842
141710ba920
15d009b153
hex846beaa0

2221664928 has 48 divisors (see below), whose sum is σ = 6664996800. Its totient is φ = 634761216.

The previous prime is 2221664899. The next prime is 2221664933. The reversal of 2221664928 is 8294661222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2221664928.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1652353 + ... + 1653696.

It is an arithmetic number, because the mean of its divisors is an integer number (138854100).

Almost surely, 22221664928 is an apocalyptic number.

2221664928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2221664928 is an abundant number, since it is smaller than the sum of its proper divisors (4443331872).

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

2221664928 is a wasteful number, since it uses less digits than its factorization.

2221664928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306069 (or 3306061 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 2221664928 is about 47134.5407106084. The cubic root of 2221664928 is about 1304.8467846135.

The spelling of 2221664928 in words is "two billion, two hundred twenty-one million, six hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3306049 6612098 9918147 13224196 19836294 23142343 26448392 39672588 46284686 52896784 69427029 79345176 92569372 105793568 138854058 158690352 185138744 277708116 317380704 370277488 555416232 740554976 1110832464 2221664928