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1814213088 = 253229217219
BaseRepresentation
bin110110000100010…
…1011000111100000
311200102202120111100
41230020223013200
512203414304323
6500004514400
762646361662
oct15410530740
94612676440
101814213088
11851092166
124276aba00
1322bb2848c
14132d36532
15a9414943
hex6c22b1e0

1814213088 has 72 divisors (see below), whose sum is σ = 5337095400. Its totient is φ = 583881984.

The previous prime is 1814213083. The next prime is 1814213099. The reversal of 1814213088 is 8803124181.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1814213083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100258 + ... + 116961.

It is an arithmetic number, because the mean of its divisors is an integer number (74126325).

Almost surely, 21814213088 is an apocalyptic number.

1814213088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1814213088 is an abundant number, since it is smaller than the sum of its proper divisors (3522882312).

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

1814213088 is a wasteful number, since it uses less digits than its factorization.

1814213088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217264 (or 217253 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1814213088 is about 42593.5803613643. The cubic root of 1814213088 is about 1219.6337447564.

The spelling of 1814213088 in words is "one billion, eight hundred fourteen million, two hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 217219 434438 651657 868876 1303314 1737752 1954971 2606628 3475504 3909942 5213256 6299351 6951008 7819884 10426512 12598702 15639768 18898053 20853024 25197404 31279536 37796106 50394808 56694159 62559072 75592212 100789616 113388318 151184424 201579232 226776636 302368848 453553272 604737696 907106544 1814213088