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16227011250 = 2325412012
BaseRepresentation
bin11110001110011010…
…01000101010110010
31112212212222120200200
433013031020222302
5231213103330000
611242105100030
71113056214462
oct170715105262
945785876620
1016227011250
1169777a77aa
12318a487616
1316b7b0a008
14add185ba2
1564e8d8500
hex3c7348ab2

16227011250 has 90 divisors (see below), whose sum is σ = 43970703777. Its totient is φ = 4323600000.

The previous prime is 16227011239. The next prime is 16227011261. The reversal of 16227011250 is 5211072261.

16227011250 is a `hidden beast` number, since 1 + 622 + 7 + 0 + 11 + 25 + 0 = 666.

16227011250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16227011239) and next prime (16227011261).

It can be written as a sum of positive squares in 8 ways, for example, as 11903028201 + 4323983049 = 109101^2 + 65757^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=90075.

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 44 ways as a sum of consecutive naturals, for example, 13510650 + ... + 13511850.

Almost surely, 216227011250 is an apocalyptic number.

16227011250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16227011250

16227011250 is an abundant number, since it is smaller than the sum of its proper divisors (27743692527).

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

16227011250 is an frugal number, since it uses more digits than its factorization.

16227011250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

It can be divided in two parts, 162 and 27011250, that multiplied together give a square (4375822500 = 661502).

The spelling of 16227011250 in words is "sixteen billion, two hundred twenty-seven million, eleven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 625 750 1125 1201 1250 1875 2250 2402 3603 3750 5625 6005 7206 10809 11250 12010 18015 21618 30025 36030 54045 60050 90075 108090 150125 180150 270225 300250 450375 540450 750625 900750 1351125 1442401 1501250 2251875 2702250 2884802 4327203 4503750 6755625 7212005 8654406 12981609 13511250 14424010 21636015 25963218 36060025 43272030 64908045 72120050 108180075 129816090 180300125 216360150 324540225 360600250 540900375 649080450 901500625 1081800750 1622701125 1803001250 2704501875 3245402250 5409003750 8113505625 16227011250