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219522030408 = 2332552172
BaseRepresentation
bin1100110001110010001…
…0000101101101001000
3202222121212102120201200
43030130202011231020
512044040114433113
6244502542544200
721600650320362
oct3143442055510
9688555376650
10219522030408
118510a51062a
1236665598060
1317915986365
14a8a6b07d32
155a9c279873
hex331c885b48

219522030408 has 36 divisors (see below), whose sum is σ = 594549599865. Its totient is φ = 73172684928.

The previous prime is 219522030397. The next prime is 219522030467. The reversal of 219522030408 is 804030225912.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

219522030408 is a `hidden beast` number, since 21 + 9 + 5 + 220 + 3 + 0 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 213128108964 + 6393921444 = 461658^2 + 79962^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=331302.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3948016 + ... + 4003232.

Almost surely, 2219522030408 is an apocalyptic number.

It is an amenable number.

219522030408 is an abundant number, since it is smaller than the sum of its proper divisors (375027569457).

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

219522030408 is an frugal number, since it uses more digits than its factorization.

219522030408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110446 (or 55222 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 219522030408 in words is "two hundred nineteen billion, five hundred twenty-two million, thirty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 55217 110434 165651 220868 331302 441736 496953 662604 993906 1325208 1987812 3975624 3048917089 6097834178 9146751267 12195668356 18293502534 24391336712 27440253801 36587005068 54880507602 73174010136 109761015204 219522030408