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20220784272 = 2435132291747
BaseRepresentation
bin10010110101010000…
…001010111010010000
31221012012222021100000
4102311100022322100
5312403010044042
613142253330000
71314042554553
oct226520127220
957165867300
1020220784272
118637118567
123b03a96900
131ba335b310
14d9b75869a
157d532d74c
hex4b540ae90

20220784272 has 240 divisors, whose sum is σ = 63512671040. Its totient is φ = 6191064576.

The previous prime is 20220784261. The next prime is 20220784303. The reversal of 20220784272 is 27248702202.

20220784272 is a `hidden beast` number, since 2 + 0 + 220 + 7 + 8 + 427 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 11573703 + ... + 11575449.

Almost surely, 220220784272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20220784272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31756335520).

20220784272 is an abundant number, since it is smaller than the sum of its proper divisors (43291886768).

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

20220784272 is a wasteful number, since it uses less digits than its factorization.

20220784272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 20220784272 in words is "twenty billion, two hundred twenty million, seven hundred eighty-four thousand, two hundred seventy-two".