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228122816 = 2619296469
BaseRepresentation
bin11011001100011…
…10000011000000
3120220020211200012
431212032003000
5431344412231
634345244052
75440004045
oct1546160300
9526224605
10228122816
11107851059
1264493628
1338352a1c
14224231cc
1515061e2b
hexd98e0c0

228122816 has 56 divisors (see below), whose sum is σ = 493014000. Its totient is φ = 104315904.

The previous prime is 228122801. The next prime is 228122821. The reversal of 228122816 is 618221822.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32030 + ... + 38498.

Almost surely, 2228122816 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 228122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246507000).

228122816 is an abundant number, since it is smaller than the sum of its proper divisors (264891184).

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

228122816 is a wasteful number, since it uses less digits than its factorization.

228122816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6529 (or 6519 counting only the distinct ones).

The product of its digits is 6144, while the sum is 32.

The square root of 228122816 is about 15103.7351671697. The cubic root of 228122816 is about 611.0211472881.

The spelling of 228122816 in words is "two hundred twenty-eight million, one hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 152 232 304 464 551 608 928 1102 1216 1856 2204 4408 6469 8816 12938 17632 25876 35264 51752 103504 122911 187601 207008 245822 375202 414016 491644 750404 983288 1500808 1966576 3001616 3564419 3933152 6003232 7128838 7866304 12006464 14257676 28515352 57030704 114061408 228122816