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228072762 = 232296612
BaseRepresentation
bin11011001100000…
…01110100111010
3120220011022000100
431212001310322
5431341312022
634344220230
75436405111
oct1546016472
9526138010
10228072762
11107817495
126446a676
1338335cc8
142240cc78
15150521ac
hexd981d3a

228072762 has 36 divisors (see below), whose sum is σ = 511972110. Its totient is φ = 73291680.

The previous prime is 228072683. The next prime is 228072781. The reversal of 228072762 is 267270822.

228072762 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 227074761 + 998001 = 15069^2 + 999^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 344712 + ... + 345372.

Almost surely, 2228072762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228072762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255986055).

228072762 is an abundant number, since it is smaller than the sum of its proper divisors (283899348).

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

228072762 is an equidigital number, since it uses as much as digits as its factorization.

228072762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 228072762 is about 15102.0780689281. The cubic root of 228072762 is about 610.9764545649.

The spelling of 228072762 in words is "two hundred twenty-eight million, seventy-two thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 661 1322 1983 3966 5949 11898 19169 38338 57507 115014 172521 345042 436921 873842 1310763 2621526 3932289 7864578 12670709 25341418 38012127 76024254 114036381 228072762