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2230838424 = 233271943093
BaseRepresentation
bin1000010011110111…
…1110010010011000
312202110201100000100
42010331332102120
514032043312144
61005210335400
7106165546053
oct20475762230
95673640010
102230838424
11a45282a21
1252312a560
1329723b149
141723c7a9a
15d0cae269
hex84f7e498

2230838424 has 48 divisors (see below), whose sum is σ = 6050397600. Its totient is φ = 742561344.

The previous prime is 2230838417. The next prime is 2230838437. The reversal of 2230838424 is 4248380322.

It is a happy number.

2230838424 is a `hidden beast` number, since 223 + 0 + 8 + 3 + 8 + 424 = 666.

2230838424 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22308384243 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30222 + ... + 73314.

It is an arithmetic number, because the mean of its divisors is an integer number (126049950).

Almost surely, 22230838424 is an apocalyptic number.

2230838424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2230838424 is an abundant number, since it is smaller than the sum of its proper divisors (3819559176).

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

2230838424 is a wasteful number, since it uses less digits than its factorization.

2230838424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43824 (or 43817 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2230838424 is about 47231.7522859358. The cubic root of 2230838424 is about 1306.6402697824.

The spelling of 2230838424 in words is "two billion, two hundred thirty million, eight hundred thirty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 719 1438 2157 2876 4314 5752 6471 8628 12942 17256 25884 43093 51768 86186 129279 172372 258558 344744 387837 517116 775674 1034232 1551348 3102696 30983867 61967734 92951601 123935468 185903202 247870936 278854803 371806404 557709606 743612808 1115419212 2230838424