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2252291580 = 2232571131779
BaseRepresentation
bin1000011000111111…
…0011110111111100
312210222002021012200
42012033303313330
514103041312310
61011254231500
7106546106520
oct20617636774
95728067180
102252291580
11a563a6000
1252a355590
1329b80cb16
141751add80
15d2aea9c0
hex863f3dfc

2252291580 has 576 divisors, whose sum is σ = 9208442880. Its totient is φ = 434903040.

The previous prime is 2252291567. The next prime is 2252291609. The reversal of 2252291580 is 851922522.

2252291580 is a `hidden beast` number, since 2 + 2 + 52 + 29 + 1 + 580 = 666.

It is a super-2 number, since 2×22522915802 = 10145634722677792800, which contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 28509981 + ... + 28510059.

It is an arithmetic number, because the mean of its divisors is an integer number (15986880).

Almost surely, 22252291580 is an apocalyptic number.

2252291580 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 2252291580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604221440).

2252291580 is an abundant number, since it is smaller than the sum of its proper divisors (6956151300).

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

2252291580 is a wasteful number, since it uses less digits than its factorization.

2252291580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2252291580 is about 47458.3141293493. The cubic root of 2252291580 is about 1310.8154082780.

The spelling of 2252291580 in words is "two billion, two hundred fifty-two million, two hundred ninety-one thousand, five hundred eighty".