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214325890800 = 24352725514987
BaseRepresentation
bin1100011110011011010…
…0011000111011110000
3202111012201222100012120
43013212310120323300
512002414412001200
6242243203354240
721325124004330
oct3074664307360
9674181870176
10214325890800
1182993417a7a
1235655382980
13172982c2638
14a53298b0c0
155895ecc9a0
hex31e6d18ef0

214325890800 has 120 divisors (see below), whose sum is σ = 784636910976. Its totient is φ = 48988773120.

The previous prime is 214325890789. The next prime is 214325890829. The reversal of 214325890800 is 8098523412.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12749094 + ... + 12765893.

Almost surely, 2214325890800 is an apocalyptic number.

214325890800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214325890800 is an abundant number, since it is smaller than the sum of its proper divisors (570311020176).

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

214325890800 is a wasteful number, since it uses less digits than its factorization.

214325890800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25515015 (or 25515004 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 214325890800 in words is "two hundred fourteen billion, three hundred twenty-five million, eight hundred ninety thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 25514987 51029974 76544961 102059948 127574935 153089922 178604909 204119896 255149870 306179844 357209818 382724805 408239792 510299740 535814727 612359688 637874675 714419636 765449610 893024545 1020599480 1071629454 1224719376 1275749350 1428839272 1530899220 1786049090 1913624025 2041198960 2143258908 2551498700 2679073635 2857678544 3061798440 3572098180 3827248050 4286517816 4465122725 5102997400 5358147270 6123596880 7144196360 7654496100 8573035632 8930245450 10205994800 10716294540 13395368175 14288392720 15308992200 17860490900 21432589080 26790736350 30617984400 35720981800 42865178160 53581472700 71441963600 107162945400 214325890800