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2273625120 = 25351319127151
BaseRepresentation
bin1000011110000100…
…1100010000100000
312212110020010022210
42013201030100200
514124022000440
61013335402120
7110225331444
oct20741142040
95773203283
102273625120
11a67447228
12535523340
132a306c210
14177d64824
15d4911a80
hex8784c420

2273625120 has 384 divisors, whose sum is σ = 8236892160. Its totient is φ = 522547200.

The previous prime is 2273625071. The next prime is 2273625161. The reversal of 2273625120 is 215263722.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15057045 + ... + 15057195.

It is an arithmetic number, because the mean of its divisors is an integer number (21450240).

Almost surely, 22273625120 is an apocalyptic number.

2273625120 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 2273625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118446080).

2273625120 is an abundant number, since it is smaller than the sum of its proper divisors (5963267040).

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

2273625120 is a wasteful number, since it uses less digits than its factorization.

2273625120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2273625120 is about 47682.5452340791. The cubic root of 2273625120 is about 1314.9410586236.

Adding to 2273625120 its reverse (215263722), we get a palindrome (2488888842).

The spelling of 2273625120 in words is "two billion, two hundred seventy-three million, six hundred twenty-five thousand, one hundred twenty".