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722468880 = 243257294943
BaseRepresentation
bin101011000100000…
…000000000010000
31212100110012222200
4223010000000100
52434423001010
6155405003200
723621612160
oct5304000020
91770405880
10722468880
113408a6621
12181b53500
13b68a84a3
146bd465a0
154365ecc0
hex2b100010

722468880 has 240 divisors, whose sum is σ = 2869102080. Its totient is φ = 159409152.

The previous prime is 722468869. The next prime is 722468897. The reversal of 722468880 is 88864227.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×7224688802 = 1043922565136908800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143689 + ... + 148631.

It is an arithmetic number, because the mean of its divisors is an integer number (11954592).

Almost surely, 2722468880 is an apocalyptic number.

722468880 is a gapful number since it is divisible by the number (70) 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 722468880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434551040).

722468880 is an abundant number, since it is smaller than the sum of its proper divisors (2146633200).

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

722468880 is a wasteful number, since it uses less digits than its factorization.

722468880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4998 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 722468880 is about 26878.7812223694. The cubic root of 722468880 is about 897.3042297167.

The spelling of 722468880 in words is "seven hundred twenty-two million, four hundred sixty-eight thousand, eight hundred eighty".