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2242113214200 = 2335217219815021
BaseRepresentation
bin100000101000001000010…
…111001001011011111000
321221100021201120110212120
4200220020113021123320
5243213321440323300
64434002415241240
7320662440604146
oct40501027113370
97840251513776
102242113214200
11794969504142
12302653219220
1313357969c4b2
147a739a68596
153d4c87113a0
hex20a085c96f8

2242113214200 has 96 divisors (see below), whose sum is σ = 7359406936560. Its totient is φ = 562726451200.

The previous prime is 2242113214193. The next prime is 2242113214223. The reversal of 2242113214200 is 24123112422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 109897311 + ... + 109917710.

Almost surely, 22242113214200 is an apocalyptic number.

2242113214200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242113214200 is an abundant number, since it is smaller than the sum of its proper divisors (5117293722360).

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

2242113214200 is a wasteful number, since it uses less digits than its factorization.

2242113214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219815057 (or 219815048 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2242113214200 its reverse (24123112422), we get a palindrome (2266236326622).

The spelling of 2242113214200 in words is "two trillion, two hundred forty-two billion, one hundred thirteen million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 219815021 439630042 659445063 879260084 1099075105 1318890126 1758520168 2198150210 2637780252 3297225315 3736855357 4396300420 5275560504 5495375525 6594450630 7473710714 8792600840 10990751050 11210566071 13188901260 14947421428 16486126575 18684276785 21981502100 22421132142 26377802520 29894842856 32972253150 37368553570 43963004200 44842264284 56052830355 65944506300 74737107140 89684528568 93421383925 112105660710 131889012600 149474214280 186842767850 224211321420 280264151775 373685535700 448422642840 560528303550 747371071400 1121056607100 2242113214200