Search a number
-
+
228162264 = 23311864251
BaseRepresentation
bin11011001100101…
…11101011011000
3120220022211210020
431212113223120
5431402143024
634350150440
75440230051
oct1546275330
9526284706
10228162264
11107878760
12644b2420
1338367975
1422433728
151506d979
hexd997ad8

228162264 has 32 divisors (see below), whose sum is σ = 622261440. Its totient is φ = 69140000.

The previous prime is 228162223. The next prime is 228162271. The reversal of 228162264 is 462261822.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 431862 + ... + 432389.

It is an arithmetic number, because the mean of its divisors is an integer number (19445670).

Almost surely, 2228162264 is an apocalyptic number.

228162264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228162264 is an abundant number, since it is smaller than the sum of its proper divisors (394099176).

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

228162264 is a wasteful number, since it uses less digits than its factorization.

228162264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864271 (or 864267 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 228162264 is about 15105.0410128540. The cubic root of 228162264 is about 611.0563654123.

The spelling of 228162264 in words is "two hundred twenty-eight million, one hundred sixty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 864251 1728502 2592753 3457004 5185506 6914008 9506761 10371012 19013522 20742024 28520283 38027044 57040566 76054088 114081132 228162264