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21220501140 = 22325117891673
BaseRepresentation
bin10011110000110101…
…110010011010010100
32000202220010011001200
4103300311302122110
5321424422014030
613425404552500
71350602166156
oct236065623224
960686104050
1021220501140
118aaa468653
124142852730
1320024c9667
141054430ad6
15842ea5d60
hex4f0d72694

21220501140 has 36 divisors (see below), whose sum is σ = 64368854004. Its totient is φ = 5658800256.

The previous prime is 21220501111. The next prime is 21220501157. The reversal of 21220501140 is 4110502212.

21220501140 is a `hidden beast` number, since 2 + 1 + 2 + 20 + 501 + 140 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9375661584 + 11844839556 = 96828^2 + 108834^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 58945657 + ... + 58946016.

Almost surely, 221220501140 is an apocalyptic number.

21220501140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220501140 is an abundant number, since it is smaller than the sum of its proper divisors (43148352864).

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

21220501140 is a wasteful number, since it uses less digits than its factorization.

21220501140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117891688 (or 117891683 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The spelling of 21220501140 in words is "twenty-one billion, two hundred twenty million, five hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 117891673 235783346 353675019 471566692 589458365 707350038 1061025057 1178916730 1414700076 1768375095 2122050114 2357833460 3536750190 4244100228 5305125285 7073500380 10610250570 21220501140