Search a number
-
+
228702810 = 23571931432
BaseRepresentation
bin11011010000110…
…11101001011010
3120221100022021110
431220123221122
5432021442220
634405521150
75444641020
oct1550335132
9527308243
10228702810
11108107896
12647131b6
13384c6a0b
1422534710
1515128be0
hexda1ba5a

228702810 has 192 divisors, whose sum is σ = 697835520. Its totient is φ = 46811520.

The previous prime is 228702769. The next prime is 228702833. The reversal of 228702810 is 18207822.

It is a happy number.

228702810 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2287028102 = 104609950603792200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5318649 + ... + 5318691.

It is an arithmetic number, because the mean of its divisors is an integer number (3634560).

Almost surely, 2228702810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228702810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348917760).

228702810 is an abundant number, since it is smaller than the sum of its proper divisors (469132710).

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

228702810 is a wasteful number, since it uses less digits than its factorization.

228702810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 228702810 is about 15122.9233285103. The cubic root of 228702810 is about 611.5385420976.

The spelling of 228702810 in words is "two hundred twenty-eight million, seven hundred two thousand, eight hundred ten".