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12284474000 = 24536142237
BaseRepresentation
bin10110111000011011…
…00011001010010000
31011201010101221022112
423130031203022100
5200124311132000
65350550524452
7613264210001
oct133415431220
934633357275
1012284474000
1152342a1157
12246a066728
13120a087736
1484770d1a8
154bd714235
hex2dc363290

12284474000 has 40 divisors (see below), whose sum is σ = 29703862968. Its totient is φ = 4913788800.

The previous prime is 12284473991. The next prime is 12284474011. The reversal of 12284474000 is 47448221.

It can be written as a sum of positive squares in 4 ways, for example, as 2567246224 + 9717227776 = 50668^2 + 98576^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3069119 + ... + 3073118.

Almost surely, 212284474000 is an apocalyptic number.

12284474000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12284474000 is an abundant number, since it is smaller than the sum of its proper divisors (17419388968).

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

12284474000 is an equidigital number, since it uses as much as digits as its factorization.

12284474000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6142260 (or 6142244 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The spelling of 12284474000 in words is "twelve billion, two hundred eighty-four million, four hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6142237 12284474 24568948 30711185 49137896 61422370 98275792 122844740 153555925 245689480 307111850 491378960 614223700 767779625 1228447400 1535559250 2456894800 3071118500 6142237000 12284474000