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2190092400 = 243252608359
BaseRepresentation
bin1000001010001010…
…0010100001110000
312122122001012222100
42002202202201300
513441130424100
61001153140400
7105162323016
oct20242424160
95578035870
102190092400
11a24282921
1251155a700
1328b972b82
1416ac1c8b6
15cc411400
hex828a2870

2190092400 has 90 divisors (see below), whose sum is σ = 7600241480. Its totient is φ = 584023680.

The previous prime is 2190092389. The next prime is 2190092413. The reversal of 2190092400 is 42900912.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 300580 + ... + 307779.

Almost surely, 22190092400 is an apocalyptic number.

2190092400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2190092400 is an abundant number, since it is smaller than the sum of its proper divisors (5410149080).

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

2190092400 is a wasteful number, since it uses less digits than its factorization.

2190092400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608383 (or 608369 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2190092400 is about 46798.4230503550. The cubic root of 2190092400 is about 1298.6361238501.

The spelling of 2190092400 in words is "two billion, one hundred ninety million, ninety-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 608359 1216718 1825077 2433436 3041795 3650154 4866872 5475231 6083590 7300308 9125385 9733744 10950462 12167180 14600616 15208975 18250770 21900924 24334360 27376155 29201232 30417950 36501540 43801848 45626925 48668720 54752310 60835900 73003080 87603696 91253850 109504620 121671800 136880775 146006160 182507700 219009240 243343600 273761550 365015400 438018480 547523100 730030800 1095046200 2190092400