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228756465 = 32574011811
BaseRepresentation
bin11011010001010…
…00101111110001
3120221110000212200
431220220233301
5432030201330
634411013413
75445253320
oct1550505761
9527400780
10228756465
11108144133
126473a269
1338515272
142254a0b7
1515139a60
hexda28bf1

228756465 has 48 divisors (see below), whose sum is σ = 454536576. Its totient is φ = 104256000.

The previous prime is 228756461. The next prime is 228756469. The reversal of 228756465 is 564657822.

228756465 is a `hidden beast` number, since 2 + 2 + 87 + 564 + 6 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (228756461) and next prime (228756469).

It is not a de Polignac number, because 228756465 - 22 = 228756461 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 228756465.

It is not an unprimeable number, because it can be changed into a prime (228756461) 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, 125410 + ... + 127220.

It is an arithmetic number, because the mean of its divisors is an integer number (9469512).

Almost surely, 2228756465 is an apocalyptic number.

It is an amenable number.

228756465 is a deficient number, since it is larger than the sum of its proper divisors (225780111).

228756465 is a wasteful number, since it uses less digits than its factorization.

228756465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2227 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 228756465 is about 15124.6971870514. The cubic root of 228756465 is about 611.5863618494.

The spelling of 228756465 in words is "two hundred twenty-eight million, seven hundred fifty-six thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 401 1203 1811 2005 2807 3609 5433 6015 8421 9055 12677 14035 16299 18045 25263 27165 38031 42105 63385 81495 114093 126315 190155 570465 726211 2178633 3631055 5083477 6535899 10893165 15250431 25417385 32679495 45751293 76252155 228756465