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442270008820 = 22598929223529
BaseRepresentation
bin1100110111110010101…
…10001100010111110100
31120021120120001022012001
412123321112030113310
524221232110240240
6535102005105044
743644602022223
oct6337126142764
91507516038161
10442270008820
11160624987692
127186b3b8184
1332923a94a93
1417598032cba
15b78782a89a
hex66f958c5f4

442270008820 has 24 divisors (see below), whose sum is σ = 928780561800. Its totient is φ = 176905423872.

The previous prime is 442270008781. The next prime is 442270008821. The reversal of 442270008820 is 28800072244.

It can be written as a sum of positive squares in 4 ways, for example, as 7991644816 + 434278364004 = 89396^2 + 658998^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 442270008820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442270008821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1866816 + ... + 2090344.

It is an arithmetic number, because the mean of its divisors is an integer number (38699190075).

Almost surely, 2442270008820 is an apocalyptic number.

It is an amenable number.

442270008820 is an abundant number, since it is smaller than the sum of its proper divisors (486510552980).

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

442270008820 is a wasteful number, since it uses less digits than its factorization.

442270008820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322467 (or 322465 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The spelling of 442270008820 in words is "four hundred forty-two billion, two hundred seventy million, eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 98929 197858 223529 395716 447058 494645 894116 989290 1117645 1978580 2235290 4470580 22113500441 44227000882 88454001764 110567502205 221135004410 442270008820