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1228696560 = 2433572131947
BaseRepresentation
bin100100100111100…
…0110101111110000
310011122000020211000
41021033012233300
510004021242220
6321531122000
742306514500
oct11117065760
93148006730
101228696560
11580626a03
122a35a3300
131677310b0
14b927da00
1572d08390
hex493c6bf0

1228696560 has 960 divisors, whose sum is σ = 5699635200. Its totient is φ = 240371712.

The previous prime is 1228696519. The next prime is 1228696561. The reversal of 1228696560 is 656968221.

1228696560 is a `hidden beast` number, since 1 + 2 + 2 + 86 + 9 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228696561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26142457 + ... + 26142503.

It is an arithmetic number, because the mean of its divisors is an integer number (5937120).

Almost surely, 21228696560 is an apocalyptic number.

1228696560 is a gapful number since it is divisible by the number (10) 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 1228696560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849817600).

1228696560 is an abundant number, since it is smaller than the sum of its proper divisors (4470938640).

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

1228696560 is a wasteful number, since it uses less digits than its factorization.

1228696560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1228696560 is about 35052.7682216398. The cubic root of 1228696560 is about 1071.0626645379.

The spelling of 1228696560 in words is "one billion, two hundred twenty-eight million, six hundred ninety-six thousand, five hundred sixty".