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2244660480 = 28325271719
BaseRepresentation
bin1000010111001010…
…1100110100000000
312210102201120022100
42011302230310000
514044113113410
61010422510400
7106424204436
oct20562546400
95712646270
102244660480
11a52063707
12527895400
1329a06a58a
14174184d56
15d20de8c0
hex85cacd00

2244660480 has 216 divisors, whose sum is σ = 7805790720. Its totient is φ = 595537920.

The previous prime is 2244660479. The next prime is 2244660529. The reversal of 2244660480 is 840664422.

It is a happy number.

2244660480 is a `hidden beast` number, since 2 + 2 + 4 + 46 + 604 + 8 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 3121561 + ... + 3122279.

It is an arithmetic number, because the mean of its divisors is an integer number (36137920).

Almost surely, 22244660480 is an apocalyptic number.

2244660480 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 2244660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902895360).

2244660480 is an abundant number, since it is smaller than the sum of its proper divisors (5561130240).

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

2244660480 is a wasteful number, since it uses less digits than its factorization.

2244660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2244660480 is about 47377.8479882740. The cubic root of 2244660480 is about 1309.3333204285. Note that the first 4 decimals are identical.

The spelling of 2244660480 in words is "two billion, two hundred forty-four million, six hundred sixty thousand, four hundred eighty".