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2201025792 = 28373147281
BaseRepresentation
bin1000001100110000…
…1111110100000000
312200101121200202210
42003030033310000
514001430311132
61002223342120
7105354260550
oct20314176400
95611550683
102201025792
11a2a470289
12515151940
13291000534
1416c467160
15cd370bcc
hex8330fd00

2201025792 has 288 divisors, whose sum is σ = 7082901504. Its totient is φ = 593510400.

The previous prime is 2201025791. The next prime is 2201025811. The reversal of 2201025792 is 2975201022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201025791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7832692 + ... + 7832972.

It is an arithmetic number, because the mean of its divisors is an integer number (24593408).

Almost surely, 22201025792 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 2201025792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541450752).

2201025792 is an abundant number, since it is smaller than the sum of its proper divisors (4881875712).

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

2201025792 is a wasteful number, since it uses less digits than its factorization.

2201025792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 2201025792 is about 46915.0913033322. The cubic root of 2201025792 is about 1300.7935573059.

The spelling of 2201025792 in words is "two billion, two hundred one million, twenty-five thousand, seven hundred ninety-two".