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228010818 = 23722947569
BaseRepresentation
bin11011001011100…
…10101101000010
3120220001011001010
431211302231002
5431332321233
634343021350
75436026400
oct1545625502
9526034033
10228010818
111077849a2
126443a856
1338313a59
14223d4470
151503db63
hexd972b42

228010818 has 96 divisors (see below), whose sum is σ = 561427200. Its totient is φ = 61453056.

The previous prime is 228010813. The next prime is 228010837. The reversal of 228010818 is 818010822.

228010818 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (228010813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400438 + ... + 401006.

It is an arithmetic number, because the mean of its divisors is an integer number (5848200).

Almost surely, 2228010818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228010818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280713600).

228010818 is an abundant number, since it is smaller than the sum of its proper divisors (333416382).

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

228010818 is a wasteful number, since it uses less digits than its factorization.

228010818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 228010818 is about 15100.0270860684. The cubic root of 228010818 is about 610.9211363234.

The spelling of 228010818 in words is "two hundred twenty-eight million, ten thousand, eight hundred eighteen".

Divisors: 1 2 3 6 7 14 21 29 42 47 49 58 87 94 98 141 147 174 203 282 294 329 406 569 609 658 987 1138 1218 1363 1421 1707 1974 2303 2726 2842 3414 3983 4089 4263 4606 6909 7966 8178 8526 9541 11949 13818 16501 19082 23898 26743 27881 28623 33002 49503 53486 55762 57246 66787 80229 83643 99006 115507 133574 160458 167286 187201 200361 231014 346521 374402 400722 561603 693042 775547 808549 1123206 1310407 1551094 1617098 2326641 2425647 2620814 3931221 4653282 4851294 5428829 7862442 10857658 16286487 32572974 38001803 76003606 114005409 228010818