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2273460480 = 28335157419
BaseRepresentation
bin1000011110000010…
…0100000100000000
312212102220202111000
42013200210010000
514124001213410
61013332052000
7110224044444
oct20740440400
95772822430
102273460480
11a67344565
12535464000
132a30122b5
14177d20824
15d48ccdc0
hex87824100

2273460480 has 288 divisors, whose sum is σ = 8138390400. Its totient is φ = 600956928.

The previous prime is 2273460479. The next prime is 2273460487. The reversal of 2273460480 is 840643722.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2273460487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5425711 + ... + 5426129.

It is an arithmetic number, because the mean of its divisors is an integer number (28258300).

Almost surely, 22273460480 is an apocalyptic number.

2273460480 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 2273460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069195200).

2273460480 is an abundant number, since it is smaller than the sum of its proper divisors (5864929920).

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

2273460480 is a wasteful number, since it uses less digits than its factorization.

2273460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2273460480 is about 47680.8187849160. The cubic root of 2273460480 is about 1314.9093182515.

The spelling of 2273460480 in words is "two billion, two hundred seventy-three million, four hundred sixty thousand, four hundred eighty".