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228131772 = 2231117101663
BaseRepresentation
bin11011001100100…
…00001110111100
3120220021021221220
431212100032330
5431400204042
634345353340
75440042131
oct1546201674
9526237856
10228131772
11107857860
1264498850
1338356b1b
1422426588
15150648ec
hexd9903bc

228131772 has 48 divisors (see below), whose sum is σ = 614863872. Its totient is φ = 65063680.

The previous prime is 228131767. The next prime is 228131801. The reversal of 228131772 is 277131822.

228131772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48588 + ... + 53075.

It is an arithmetic number, because the mean of its divisors is an integer number (12809664).

Almost surely, 2228131772 is an apocalyptic number.

228131772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

228131772 is an abundant number, since it is smaller than the sum of its proper divisors (386732100).

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

228131772 is a wasteful number, since it uses less digits than its factorization.

228131772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101698 (or 101696 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 228131772 is about 15104.0316472126. The cubic root of 228131772 is about 611.0291433227.

Subtracting 228131772 from its reverse (277131822), we obtain a triangular number (49000050 = T9899).

The spelling of 228131772 in words is "two hundred twenty-eight million, one hundred thirty-one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 101663 203326 304989 406652 609978 1118293 1219956 1728271 2236586 3354879 3456542 4473172 5184813 6709758 6913084 10369626 13419516 19010981 20739252 38021962 57032943 76043924 114065886 228131772