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2182147340 = 2251929198017
BaseRepresentation
bin1000001000010000…
…1110110100001100
312122002002120101212
42002010032310030
513432112203330
61000310553552
7105034642412
oct20204166414
95562076355
102182147340
11a1a84665a
1250a9688b8
1328a120759
14169b512b2
15cb892295
hex8210ed0c

2182147340 has 48 divisors (see below), whose sum is σ = 4990053600. Its totient is φ = 798400512.

The previous prime is 2182147339. The next prime is 2182147351. The reversal of 2182147340 is 437412812.

It is a junction number, because it is equal to n+sod(n) for n = 2182147297 and 2182147306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87989 + ... + 110028.

It is an arithmetic number, because the mean of its divisors is an integer number (103959450).

Almost surely, 22182147340 is an apocalyptic number.

2182147340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2182147340 is an abundant number, since it is smaller than the sum of its proper divisors (2807906260).

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

2182147340 is a wasteful number, since it uses less digits than its factorization.

2182147340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198074 (or 198072 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 2182147340 is about 46713.4599446455. The cubic root of 2182147340 is about 1297.0638547558.

The spelling of 2182147340 in words is "two billion, one hundred eighty-two million, one hundred forty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 551 580 1102 2204 2755 5510 11020 198017 396034 792068 990085 1980170 3762323 3960340 5742493 7524646 11484986 15049292 18811615 22969972 28712465 37623230 57424930 75246460 109107367 114849860 218214734 436429468 545536835 1091073670 2182147340