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14552012200 = 23521116933907
BaseRepresentation
bin11011000110101111…
…00001010110101000
31101120011011210221211
431203113201112220
5214300303342300
610403552042504
71023420030355
oct154327412650
941504153854
1014552012200
116198260170
1229a1533434
1314abaa520b
149c092b62c
155a28224ba
hex3635e15a8

14552012200 has 96 divisors (see below), whose sum is σ = 36940448160. Its totient is φ = 5287161600.

The previous prime is 14552012177. The next prime is 14552012261. The reversal of 14552012200 is 221025541.

14552012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145520122002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 3722647 + ... + 3726553.

It is an arithmetic number, because the mean of its divisors is an integer number (384796335).

Almost surely, 214552012200 is an apocalyptic number.

14552012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14552012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18470224080).

14552012200 is an abundant number, since it is smaller than the sum of its proper divisors (22388435960).

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

14552012200 is a wasteful number, since it uses less digits than its factorization.

14552012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5627 (or 5618 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 14552012200 its reverse (221025541), we get a palindrome (14773037741).

The spelling of 14552012200 in words is "fourteen billion, five hundred fifty-two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1693 2200 3386 3907 6772 7814 8465 13544 15628 16930 18623 19535 31256 33860 37246 39070 42325 42977 67720 74492 78140 84650 85954 93115 97675 148984 156280 169300 171908 186230 195350 214885 338600 343816 372460 390700 429770 465575 744920 781400 859540 931150 1074425 1719080 1862300 2148850 3724600 4297700 6614551 8595400 13229102 26458204 33072755 52916408 66145510 72760061 132291020 145520122 165363775 264582040 291040244 330727550 363800305 582080488 661455100 727600610 1322910200 1455201220 1819001525 2910402440 3638003050 7276006100 14552012200