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2273863152 = 24311171967199
BaseRepresentation
bin1000011110001000…
…0110010111110000
312212110200012211210
42013202012113300
514124102110102
61013344440120
7110230342431
oct20742062760
95773605753
102273863152
11a6759a050
12535619040
132a3123672
14177dc7488
15d495c36c
hex878865f0

2273863152 has 320 divisors, whose sum is σ = 7285248000. Its totient is φ = 602173440.

The previous prime is 2273863129. The next prime is 2273863159. The reversal of 2273863152 is 2513683722.

It is a self number, because there is not a number n which added to its sum of digits gives 2273863152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2273863159) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11426349 + ... + 11426547.

It is an arithmetic number, because the mean of its divisors is an integer number (22766400).

Almost surely, 22273863152 is an apocalyptic number.

2273863152 is a gapful number since it is divisible by the number (22) 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 2273863152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642624000).

2273863152 is an abundant number, since it is smaller than the sum of its proper divisors (5011384848).

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

2273863152 is a wasteful number, since it uses less digits than its factorization.

2273863152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 2273863152 is about 47685.0411764528. The cubic root of 2273863152 is about 1314.9869452747.

The spelling of 2273863152 in words is "two billion, two hundred seventy-three million, eight hundred sixty-three thousand, one hundred fifty-two".