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2272105620 = 2233537113719
BaseRepresentation
bin1000011101101101…
…1001010010010100
312212100100220222000
42013123121102110
514123124334440
61013243035300
7110206402431
oct20733312224
95770326860
102272105620
11a665a9644
12534b0bb30
132a29596c5
14177a8ab88
15d4711730
hex876d9494

2272105620 has 96 divisors (see below), whose sum is σ = 7259884800. Its totient is φ = 589514112.

The previous prime is 2272105609. The next prime is 2272105621. The reversal of 2272105620 is 265012722.

2272105620 is a `hidden beast` number, since 2 + 27 + 2 + 10 + 5 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272105621) 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, 36880 + ... + 76839.

It is an arithmetic number, because the mean of its divisors is an integer number (75623800).

Almost surely, 22272105620 is an apocalyptic number.

2272105620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2272105620 is an abundant number, since it is smaller than the sum of its proper divisors (4987779180).

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

2272105620 is a wasteful number, since it uses less digits than its factorization.

2272105620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113774 (or 113766 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2272105620 is about 47666.6090675643. The cubic root of 2272105620 is about 1314.6480613016.

The spelling of 2272105620 in words is "two billion, two hundred seventy-two million, one hundred five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 444 540 555 666 740 999 1110 1332 1665 1998 2220 3330 3996 4995 6660 9990 19980 113719 227438 341157 454876 568595 682314 1023471 1137190 1364628 1705785 2046942 2274380 3070413 3411570 4093884 4207603 5117355 6140826 6823140 8415206 10234710 12281652 12622809 15352065 16830412 20469420 21038015 25245618 30704130 37868427 42076030 50491236 61408260 63114045 75736854 84152060 113605281 126228090 151473708 189342135 227210562 252456180 378684270 454421124 568026405 757368540 1136052810 2272105620