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2272046560 = 255710718959
BaseRepresentation
bin1000011101101100…
…1010110111100000
312212100020220221121
42013123022313200
514123120442220
61013241502024
7110206035310
oct20733126740
95770226847
102272046560
11a66569233
12534aa1914
132a2938864
14177a73440
15d46edeaa
hex876cade0

2272046560 has 96 divisors (see below), whose sum is σ = 6192184320. Its totient is φ = 771666432.

The previous prime is 2272046551. The next prime is 2272046563. The reversal of 2272046560 is 656402722.

2272046560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272046563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110361 + ... + 129319.

It is an arithmetic number, because the mean of its divisors is an integer number (64501920).

Almost surely, 22272046560 is an apocalyptic number.

2272046560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272046560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096092160).

2272046560 is an abundant number, since it is smaller than the sum of its proper divisors (3920137760).

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

2272046560 is a wasteful number, since it uses less digits than its factorization.

2272046560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19088 (or 19080 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 2272046560 is about 47665.9895523003. The cubic root of 2272046560 is about 1314.6366704304.

The spelling of 2272046560 in words is "two billion, two hundred seventy-two million, forty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 107 112 140 160 214 224 280 428 535 560 749 856 1070 1120 1498 1712 2140 2996 3424 3745 4280 5992 7490 8560 11984 14980 17120 18959 23968 29960 37918 59920 75836 94795 119840 132713 151672 189590 265426 303344 379180 530852 606688 663565 758360 1061704 1327130 1516720 2028613 2123408 2654260 3033440 4057226 4246816 5308520 8114452 10143065 10617040 14200291 16228904 20286130 21234080 28400582 32457808 40572260 56801164 64915616 71001455 81144520 113602328 142002910 162289040 227204656 284005820 324578080 454409312 568011640 1136023280 2272046560