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2272529808 = 2432171948859
BaseRepresentation
bin1000011101110100…
…0000110110010000
312212101011110211200
42013131000312100
514123231423213
61013300111200
7110213120223
oct20735006620
95771143750
102272529808
11a6686930a
12535095500
132a2a777c3
14177b5b5ba
15d4797273
hex87740d90

2272529808 has 120 divisors (see below), whose sum is σ = 7088608800. Its totient is φ = 675412992.

The previous prime is 2272529801. The next prime is 2272529839. The reversal of 2272529808 is 8089252722.

It is not an unprimeable number, because it can be changed into a prime (2272529801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22083 + ... + 70941.

It is an arithmetic number, because the mean of its divisors is an integer number (59071740).

Almost surely, 22272529808 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 2272529808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544304400).

2272529808 is an abundant number, since it is smaller than the sum of its proper divisors (4816078992).

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

2272529808 is a wasteful number, since it uses less digits than its factorization.

2272529808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48909 (or 48900 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2272529808 is about 47671.0583897610. The cubic root of 2272529808 is about 1314.7298684187.

The spelling of 2272529808 in words is "two billion, two hundred seventy-two million, five hundred twenty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 34 36 38 48 51 57 68 72 76 102 114 136 144 152 153 171 204 228 272 304 306 323 342 408 456 612 646 684 816 912 969 1224 1292 1368 1938 2448 2584 2736 2907 3876 5168 5814 7752 11628 15504 23256 46512 48859 97718 146577 195436 293154 390872 439731 586308 781744 830603 879462 928321 1172616 1661206 1758924 1856642 2345232 2491809 2784963 3322412 3517848 3713284 4983618 5569926 6644824 7035696 7426568 7475427 8354889 9967236 11139852 13289648 14853136 14950854 15781457 16709778 19934472 22279704 29901708 31562914 33419556 39868944 44559408 47344371 59803416 63125828 66839112 94688742 119606832 126251656 133678224 142033113 189377484 252503312 284066226 378754968 568132452 757509936 1136264904 2272529808