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2252055960 = 233657111759
BaseRepresentation
bin1000011000111011…
…1010010110011000
312210221122022000000
42012032322112120
514103011242320
61011245213000
7106544105550
oct20616722630
95727568000
102252055960
11a56254a80
1252a261160
1329b7597bb
1417514c160
15d2aa0c90
hex863ba598

2252055960 has 896 divisors, whose sum is σ = 10199001600. Its totient is φ = 432967680.

The previous prime is 2252055947. The next prime is 2252055973. The reversal of 2252055960 is 695502522.

2252055960 is a `hidden beast` number, since 2 + 25 + 20 + 559 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2252055947) and next prime (2252055973).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 38170411 + ... + 38170469.

Almost surely, 22252055960 is an apocalyptic number.

2252055960 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 2252055960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099500800).

2252055960 is an abundant number, since it is smaller than the sum of its proper divisors (7946945640).

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

2252055960 is a wasteful number, since it uses less digits than its factorization.

2252055960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 2252055960 is about 47455.8316753589. The cubic root of 2252055960 is about 1310.7696970418.

The spelling of 2252055960 in words is "two billion, two hundred fifty-two million, fifty-five thousand, nine hundred sixty".