Search a number
-
+
228360942 = 23231616709
BaseRepresentation
bin11011001110010…
…00001011101110
3120220200221022200
431213020023232
5431430022232
634354322330
75442015225
oct1547101356
9526627280
10228360942
111079a3a57
12645893a6
1338407224
1422485cbc
15150ac77c
hexd9c82ee

228360942 has 48 divisors (see below), whose sum is σ = 519192960. Its totient is φ = 72446400.

The previous prime is 228360919. The next prime is 228360959. The reversal of 228360942 is 249063822.

228360942 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 609 + 42 = 666.

It is a super-2 number, since 2×2283609422 = 104297439662254728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 228360897 and 228360906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30684 + ... + 37392.

It is an arithmetic number, because the mean of its divisors is an integer number (10816520).

Almost surely, 2228360942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228360942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259596480).

228360942 is an abundant number, since it is smaller than the sum of its proper divisors (290832018).

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

228360942 is a wasteful number, since it uses less digits than its factorization.

228360942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809 (or 6806 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 228360942 is about 15111.6161279990. The cubic root of 228360942 is about 611.2336781620.

The spelling of 228360942 in words is "two hundred twenty-eight million, three hundred sixty thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 31 61 62 93 122 183 186 279 366 549 558 1098 1891 3782 5673 6709 11346 13418 17019 20127 34038 40254 60381 120762 207979 409249 415958 623937 818498 1227747 1247874 1871811 2455494 3683241 3743622 7366482 12686719 25373438 38060157 76120314 114180471 228360942