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2124990168 = 233743294157
BaseRepresentation
bin111111010101000…
…1100011011011000
312111002112200111120
41332222030123120
513322444141133
6550505525240
7103442055420
oct17652143330
95432480446
102124990168
119a0557624
124b37a3820
1327b32a742
14162313480
15c6851ab3
hex7ea8c6d8

2124990168 has 64 divisors (see below), whose sum is σ = 6212616960. Its totient is φ = 593018496.

The previous prime is 2124990143. The next prime is 2124990193. The reversal of 2124990168 is 8610994212.

It is an interprime number because it is at equal distance from previous prime (2124990143) and next prime (2124990193).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139855 + ... + 154302.

It is an arithmetic number, because the mean of its divisors is an integer number (97072140).

Almost surely, 22124990168 is an apocalyptic number.

2124990168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2124990168 is an abundant number, since it is smaller than the sum of its proper divisors (4087626792).

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

2124990168 is a wasteful number, since it uses less digits than its factorization.

2124990168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294216 (or 294212 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 2124990168 is about 46097.6156433280. The cubic root of 2124990168 is about 1285.6388125150.

The spelling of 2124990168 in words is "two billion, one hundred twenty-four million, nine hundred ninety thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 294157 588314 882471 1176628 1764942 2059099 2353256 3529884 4118198 6177297 7059768 8236396 12354594 12648751 16472792 24709188 25297502 37946253 49418376 50595004 75892506 88541257 101190008 151785012 177082514 265623771 303570024 354165028 531247542 708330056 1062495084 2124990168