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2221661246220 = 2234513176205411
BaseRepresentation
bin100000010101000101010…
…101000101001100001100
321212101111101120212010000
4200111011111011030030
5242344430234334340
64420341142444300
7316336560003303
oct40250525051414
97771441525100
102221661246220
11787223944969
122ba6a5a33690
1313166a4891b0
147975973143a
153cbcce68d30
hex2054554530c

2221661246220 has 240 divisors, whose sum is σ = 7947047753568. Its totient is φ = 514701527040.

The previous prime is 2221661246201. The next prime is 2221661246227. The reversal of 2221661246220 is 226421661222.

2221661246220 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 6 + 6 + 1 + 24 + 622 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2221661246227) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2744686 + ... + 3460725.

Almost surely, 22221661246220 is an apocalyptic number.

2221661246220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221661246220 is an abundant number, since it is smaller than the sum of its proper divisors (5725386507348).

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

2221661246220 is a wasteful number, since it uses less digits than its factorization.

2221661246220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6205462 (or 6205451 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2221661246220 in words is "two trillion, two hundred twenty-one billion, six hundred sixty-one million, two hundred forty-six thousand, two hundred twenty".