Search a number
-
+
2273797764 = 22337361381
BaseRepresentation
bin1000011110000111…
…0110011010000100
312212110112220011000
42013201312122010
514124043012024
61013343213300
7110226651000
oct20741663204
95773486130
102273797764
11a67554a07
125355a7230
132a30cc984
14177dab700
15d4947cc9
hex87876684

2273797764 has 96 divisors (see below), whose sum is σ = 6874784000. Its totient is φ = 649645920.

The previous prime is 2273797759. The next prime is 2273797769. The reversal of 2273797764 is 4677973722.

It is an interprime number because it is at equal distance from previous prime (2273797759) and next prime (2273797769).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2273797764.

It is not an unprimeable number, because it can be changed into a prime (2273797769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6354 + ... + 67734.

Almost surely, 22273797764 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 2273797764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437392000).

2273797764 is an abundant number, since it is smaller than the sum of its proper divisors (4600986236).

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

2273797764 is a wasteful number, since it uses less digits than its factorization.

2273797764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61415 (or 61393 counting only the distinct ones).

The product of its digits is 6223392, while the sum is 54.

The square root of 2273797764 is about 47684.3555477056. The cubic root of 2273797764 is about 1314.9743404131.

The spelling of 2273797764 in words is "two billion, two hundred seventy-three million, seven hundred ninety-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 588 686 756 882 1029 1323 1372 1764 2058 2646 3087 4116 5292 6174 9261 12348 18522 37044 61381 122762 184143 245524 368286 429667 552429 736572 859334 1104858 1289001 1657287 1718668 2209716 2578002 3007669 3314574 3867003 5156004 6015338 6629148 7734006 9023007 11601009 12030676 15468012 18046014 21053683 23202018 27069021 36092028 42107366 46404036 54138042 63161049 81207063 84214732 108276084 126322098 162414126 189483147 252644196 324828252 378966294 568449441 757932588 1136898882 2273797764