Search a number
-
+
228870432 = 253271071061
BaseRepresentation
bin11011010010001…
…00100100100000
3120221122211012200
431221010210200
5432042323212
634413253200
75446236510
oct1551044440
9527584180
10228870432
1110821181a
1264794200
13385550bb
1422579840
151515d6dc
hexda44920

228870432 has 144 divisors (see below), whose sum is σ = 751488192. Its totient is φ = 64719360.

The previous prime is 228870431. The next prime is 228870449. The reversal of 228870432 is 234078822.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (228870431) 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, 215182 + ... + 216242.

It is an arithmetic number, because the mean of its divisors is an integer number (5218668).

Almost surely, 2228870432 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 228870432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375744096).

228870432 is an abundant number, since it is smaller than the sum of its proper divisors (522617760).

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

228870432 is a wasteful number, since it uses less digits than its factorization.

228870432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 228870432 is about 15128.4642974758. The cubic root of 228870432 is about 611.6879095675.

The spelling of 228870432 in words is "two hundred twenty-eight million, eight hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 107 112 126 144 168 214 224 252 288 321 336 428 504 642 672 749 856 963 1008 1061 1284 1498 1712 1926 2016 2122 2247 2568 2996 3183 3424 3852 4244 4494 5136 5992 6366 6741 7427 7704 8488 8988 9549 10272 11984 12732 13482 14854 15408 16976 17976 19098 22281 23968 25464 26964 29708 30816 33952 35952 38196 44562 50928 53928 59416 66843 71904 76392 89124 101856 107856 113527 118832 133686 152784 178248 215712 227054 237664 267372 305568 340581 356496 454108 534744 681162 712992 794689 908216 1021743 1069488 1362324 1589378 1816432 2043486 2138976 2384067 2724648 3178756 3632864 4086972 4768134 5449296 6357512 7152201 8173944 9536268 10898592 12715024 14304402 16347888 19072536 25430048 28608804 32695776 38145072 57217608 76290144 114435216 228870432