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12274166000 = 245316736749
BaseRepresentation
bin10110110111001100…
…01110100011110000
31011200102000020101202
423123212032203300
5200114141303000
65345541550332
7613110455345
oct133346164360
934612006352
1012274166000
1152294a0648
1224667153a8
131207bb8925
148461c87cc
154bc879dd5
hex2db98e8f0

12274166000 has 80 divisors (see below), whose sum is σ = 29857464000. Its totient is φ = 4880134400.

The previous prime is 12274165999. The next prime is 12274166011. The reversal of 12274166000 is 66147221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315626 + ... + 352374.

It is an arithmetic number, because the mean of its divisors is an integer number (373218300).

Almost surely, 212274166000 is an apocalyptic number.

12274166000 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 12274166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14928732000).

12274166000 is an abundant number, since it is smaller than the sum of its proper divisors (17583298000).

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

12274166000 is a wasteful number, since it uses less digits than its factorization.

12274166000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36939 (or 36923 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 12274166000 in words is "twelve billion, two hundred seventy-four million, one hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 167 200 250 334 400 500 668 835 1000 1336 1670 2000 2672 3340 4175 6680 8350 13360 16700 20875 33400 36749 41750 66800 73498 83500 146996 167000 183745 293992 334000 367490 587984 734980 918725 1469960 1837450 2939920 3674900 4593625 6137083 7349800 9187250 12274166 14699600 18374500 24548332 30685415 36749000 49096664 61370830 73498000 98193328 122741660 153427075 245483320 306854150 490966640 613708300 767135375 1227416600 1534270750 2454833200 3068541500 6137083000 12274166000