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228940956 = 223219433773
BaseRepresentation
bin11011010010101…
…01110010011100
3120221210101221200
431221111302130
5432102102311
634414555500
75446652226
oct1551256234
9527711850
10228940956
1110825a802
1264808b90
133857b22a
1422597416
1515174556
hexda55c9c

228940956 has 72 divisors (see below), whose sum is σ = 611367120. Its totient is φ = 72036864.

The previous prime is 228940951. The next prime is 228940961. The reversal of 228940956 is 659049822.

It is an interprime number because it is at equal distance from previous prime (228940951) and next prime (228940961).

It is a super-2 number, since 2×2289409562 = 104827922668387872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228940951) 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, 295786 + ... + 296558.

It is an arithmetic number, because the mean of its divisors is an integer number (8491210).

Almost surely, 2228940956 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 228940956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305683560).

228940956 is an abundant number, since it is smaller than the sum of its proper divisors (382426164).

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

228940956 is a wasteful number, since it uses less digits than its factorization.

228940956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 228940956 is about 15130.7949559830. The cubic root of 228940956 is about 611.7507314993.

The spelling of 228940956 in words is "two hundred twenty-eight million, nine hundred forty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 433 684 773 866 1299 1546 1732 2319 2598 3092 3897 4638 5196 6957 7794 8227 9276 13914 14687 15588 16454 24681 27828 29374 32908 44061 49362 58748 74043 88122 98724 132183 148086 176244 264366 296172 334709 528732 669418 1004127 1338836 2008254 3012381 4016508 6024762 6359471 12049524 12718942 19078413 25437884 38156826 57235239 76313652 114470478 228940956