Search a number
-
+
22295094480 = 24365537213
BaseRepresentation
bin10100110000111001…
…000010010011010000
32010112210011011000000
4110300321002103100
5331130021010410
614124153130000
71416331114311
oct246071022320
963483134000
1022295094480
119500aaa51a
1243a26b9900
132144022cc9
141117038608
158a74bddc0
hex530e424d0

22295094480 has 280 divisors, whose sum is σ = 79195955688. Its totient is φ = 5832373248.

The previous prime is 22295094407. The next prime is 22295094487. The reversal of 22295094480 is 8449059222.

22295094480 is a `hidden beast` number, since 2 + 2 + 29 + 509 + 44 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7427681856 + 14867412624 = 86184^2 + 121932^2 .

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 (22295094487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3087354 + ... + 3094566.

Almost surely, 222295094480 is an apocalyptic number.

22295094480 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 22295094480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39597977844).

22295094480 is an abundant number, since it is smaller than the sum of its proper divisors (56900861208).

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

22295094480 is an equidigital number, since it uses as much as digits as its factorization.

22295094480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7297 (or 7276 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 22295094480 in words is "twenty-two billion, two hundred ninety-five million, ninety-four thousand, four hundred eighty".