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228962958 = 23719479599
BaseRepresentation
bin11011010010110…
…11001010001110
3120221211112010120
431221123022032
5432103303313
634415245410
75450103330
oct1551331216
9527745116
10228962958
11108275294
1264819866
1338588253
14225a1450
151517ad23
hexda5b28e

228962958 has 64 divisors (see below), whose sum is σ = 552960000. Its totient is φ = 61742304.

The previous prime is 228962911. The next prime is 228962963. The reversal of 228962958 is 859269822.

It is a super-2 number, since 2×2289629582 = 104848072272219528, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 228962958.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381943 + ... + 382541.

It is an arithmetic number, because the mean of its divisors is an integer number (8640000).

Almost surely, 2228962958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228962958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276480000).

228962958 is an abundant number, since it is smaller than the sum of its proper divisors (323997042).

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

228962958 is a wasteful number, since it uses less digits than its factorization.

228962958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109.

The product of its digits is 1244160, while the sum is 51.

The square root of 228962958 is about 15131.5219987944. The cubic root of 228962958 is about 611.7703279762.

The spelling of 228962958 in words is "two hundred twenty-eight million, nine hundred sixty-two thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 479 599 798 958 1198 1437 1797 2874 3353 3594 4193 6706 8386 9101 10059 11381 12579 18202 20118 22762 25158 27303 34143 54606 63707 68286 79667 127414 159334 191121 239001 286921 382242 478002 573842 860763 1721526 2008447 4016894 5451499 6025341 10902998 12050682 16354497 32708994 38160493 76320986 114481479 228962958