Search a number
-
+
2297218560 = 293571319173
BaseRepresentation
bin1000100011101100…
…1100011000000000
312221002121210102220
42020323030120000
514201041443220
61015541211040
7110633015130
oct21073143000
95832553386
102297218560
11a797a133a
12541400a80
132a7c10130
1417b146ac0
15d6a22540
hex88ecc600

2297218560 has 640 divisors, whose sum is σ = 9569387520. Its totient is φ = 456523776.

The previous prime is 2297218559. The next prime is 2297218589. The reversal of 2297218560 is 658127922.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×22972185602 = 10554426224816947200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13278634 + ... + 13278806.

It is an arithmetic number, because the mean of its divisors is an integer number (14952168).

Almost surely, 22297218560 is an apocalyptic number.

2297218560 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 2297218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784693760).

2297218560 is an abundant number, since it is smaller than the sum of its proper divisors (7272168960).

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

2297218560 is a wasteful number, since it uses less digits than its factorization.

2297218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2297218560 is about 47929.3079440962. The cubic root of 2297218560 is about 1319.4738031237.

The spelling of 2297218560 in words is "two billion, two hundred ninety-seven million, two hundred eighteen thousand, five hundred sixty".