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2274250752 = 212321719191
BaseRepresentation
bin1000011110001110…
…0101000000000000
312212111101220112100
42013203211000000
514124202011002
61013401030400
7110233545444
oct20743450000
95774356470
102274250752
11a67834284
12535785400
132a322ac07
14178088824
15d49d711c
hex878e5000

2274250752 has 312 divisors, whose sum is σ = 7360104960. Its totient is φ = 672399360.

The previous prime is 2274250721. The next prime is 2274250753. The reversal of 2274250752 is 2570524722.

2274250752 is a `hidden beast` number, since 227 + 425 + 0 + 7 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2274250753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11906977 + ... + 11907167.

It is an arithmetic number, because the mean of its divisors is an integer number (23590080).

Almost surely, 22274250752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2274250752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680052480).

2274250752 is an abundant number, since it is smaller than the sum of its proper divisors (5085854208).

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

2274250752 is a wasteful number, since it uses less digits than its factorization.

2274250752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 2274250752 is about 47689.1051708878. The cubic root of 2274250752 is about 1315.0616580649.

The spelling of 2274250752 in words is "two billion, two hundred seventy-four million, two hundred fifty thousand, seven hundred fifty-two".