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228407963 = 7223389521
BaseRepresentation
bin11011001110100…
…11101010011011
3120220210022211012
431213103222123
5431433023323
634355324135
75442302300
oct1547235233
9526708735
10228407963
11107a26313
12645b064b
1338422754
14224990a7
15150bb678
hexd9d3a9b

228407963 has 24 divisors (see below), whose sum is σ = 278497440. Its totient is φ = 186426240.

The previous prime is 228407957. The next prime is 228407981. The reversal of 228407963 is 369704822.

It is a happy number.

It is not a de Polignac number, because 228407963 - 210 = 228406939 is a prime.

It is a super-3 number, since 3×2284079633 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 228407963.

It is not an unprimeable number, because it can be changed into a prime (228407983) 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 23 ways as a sum of consecutive naturals, for example, 438143 + ... + 438663.

It is an arithmetic number, because the mean of its divisors is an integer number (11604060).

Almost surely, 2228407963 is an apocalyptic number.

228407963 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

228407963 is a deficient number, since it is larger than the sum of its proper divisors (50089477).

228407963 is a wasteful number, since it uses less digits than its factorization.

228407963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 228407963 is about 15113.1718378374. The cubic root of 228407963 is about 611.2756276100.

It can be divided in two parts, 22840 and 7963, that added together give a palindrome (30803).

The spelling of 228407963 in words is "two hundred twenty-eight million, four hundred seven thousand, nine hundred sixty-three".

Divisors: 1 7 23 49 161 389 521 1127 2723 3647 8947 11983 19061 25529 62629 83881 202669 438403 587167 1418683 4661387 9930781 32629709 228407963