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228241260 = 223351324161
BaseRepresentation
bin11011001101010…
…10111101101100
3120220110212011000
431212222331230
5431412210020
634352000300
75441006262
oct1546527554
9526425130
10228241260
11107922045
1264530090
1338394900
1422454432
1515087090
hexd9aaf6c

228241260 has 288 divisors, whose sum is σ = 800573760. Its totient is φ = 53913600.

The previous prime is 228241253. The next prime is 228241261. The reversal of 228241260 is 62142822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (228241261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3741630 + ... + 3741690.

It is an arithmetic number, because the mean of its divisors is an integer number (2779770).

Almost surely, 2228241260 is an apocalyptic number.

228241260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228241260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400286880).

228241260 is an abundant number, since it is smaller than the sum of its proper divisors (572332500).

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

228241260 is a wasteful number, since it uses less digits than its factorization.

228241260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 228241260 is about 15107.6556751867. The cubic root of 228241260 is about 611.1268787361.

The spelling of 228241260 in words is "two hundred twenty-eight million, two hundred forty-one thousand, two hundred sixty".