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228966948 = 2232717192997
BaseRepresentation
bin11011010010111…
…00001000100100
3120221211201121100
431221130020210
5432103420243
634415320100
75450121060
oct1551341044
9527751540
10228966948
11108278291
1264820030
133858a002
14225a2aa0
151517c0d3
hexda5c224

228966948 has 288 divisors, whose sum is σ = 770515200. Its totient is φ = 55738368.

The previous prime is 228966923. The next prime is 228966953. The reversal of 228966948 is 849669822.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 228966894 and 228966903.

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, 2360436 + ... + 2360532.

It is an arithmetic number, because the mean of its divisors is an integer number (2675400).

Almost surely, 2228966948 is an apocalyptic number.

228966948 is a gapful number since it is divisible by the number (28) 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 228966948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385257600).

228966948 is an abundant number, since it is smaller than the sum of its proper divisors (541548252).

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

228966948 is a wasteful number, since it uses less digits than its factorization.

228966948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 174 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 228966948 is about 15131.6538421945. The cubic root of 228966948 is about 611.7738816069.

The spelling of 228966948 in words is "two hundred twenty-eight million, nine hundred sixty-six thousand, nine hundred forty-eight".