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2204017920 = 283251314717
BaseRepresentation
bin1000001101011110…
…1010010100000000
312200121020201012100
42003113222110000
514003212033140
61002411430400
7105421562136
oct20327522400
95617221170
102204017920
11a31124315
12516155400
1329180a420
1416ca05756
15cd762530
hex835ea500

2204017920 has 216 divisors, whose sum is σ = 8212820616. Its totient is φ = 542490624.

The previous prime is 2204017877. The next prime is 2204017957. The reversal of 2204017920 is 297104022.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 2203739136 = 528^2 + 46944^2 .

It is a super-2 number, since 2×22040179202 = 9715389983362252800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142402 + ... + 157118.

Almost surely, 22204017920 is an apocalyptic number.

2204017920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106410308).

2204017920 is an abundant number, since it is smaller than the sum of its proper divisors (6008802696).

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

2204017920 is a wasteful number, since it uses less digits than its factorization.

2204017920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14757 (or 14740 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2204017920 is about 46946.9692312507. The cubic root of 2204017920 is about 1301.3827338737.

The spelling of 2204017920 in words is "two billion, two hundred four million, seventeen thousand, nine hundred twenty".