Search a number
-
+
228136736 = 25172914461
BaseRepresentation
bin11011001100100…
…01011100100000
3120220021112202202
431212101130200
5431400333421
634345432332
75440062452
oct1546213440
9526245682
10228136736
11107860563
126449b6a8
1338359169
14224282d2
151506610b
hexd991720

228136736 has 48 divisors (see below), whose sum is σ = 491997240. Its totient is φ = 103649280.

The previous prime is 228136697. The next prime is 228136739. The reversal of 228136736 is 637631822.

It can be written as a sum of positive squares in 4 ways, for example, as 173080336 + 55056400 = 13156^2 + 7420^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 228136736.

It is not an unprimeable number, because it can be changed into a prime (228136739) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8546 + ... + 23006.

Almost surely, 2228136736 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 228136736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245998620).

228136736 is an abundant number, since it is smaller than the sum of its proper divisors (263860504).

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

228136736 is a wasteful number, since it uses less digits than its factorization.

228136736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14517 (or 14509 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 228136736 is about 15104.1959733049. The cubic root of 228136736 is about 611.0335751571.

The spelling of 228136736 in words is "two hundred twenty-eight million, one hundred thirty-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 928 986 1972 3944 7888 14461 15776 28922 57844 115688 231376 245837 419369 462752 491674 838738 983348 1677476 1966696 3354952 3933392 6709904 7129273 7866784 13419808 14258546 28517092 57034184 114068368 228136736