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2272083048 = 2337177639
BaseRepresentation
bin1000011101101101…
…0011110001101000
312212100022210000000
42013123103301220
514123123124143
61013242343000
7110206246554
oct20733236150
95770283000
102272083048
11a66593694
12534abaa60
132a294c351
14177a82864
15d4709bd3
hex876d3c68

2272083048 has 128 divisors (see below), whose sum is σ = 6765984000. Its totient is φ = 712717056.

The previous prime is 2272083041. The next prime is 2272083059. The reversal of 2272083048 is 8403802722.

2272083048 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22720830482 = 10324722754017940608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2272083041) 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, 293613 + ... + 301251.

It is an arithmetic number, because the mean of its divisors is an integer number (52859250).

Almost surely, 22272083048 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 2272083048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382992000).

2272083048 is an abundant number, since it is smaller than the sum of its proper divisors (4493900952).

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

2272083048 is an equidigital number, since it uses as much as digits as its factorization.

2272083048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7683 (or 7661 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2272083048 is about 47666.3722974593. The cubic root of 2272083048 is about 1314.6437078751.

The spelling of 2272083048 in words is "two billion, two hundred seventy-two million, eighty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 729 918 972 1224 1377 1458 1836 1944 2187 2754 2916 3672 4131 4374 5508 5832 7639 8262 8748 11016 12393 15278 16524 17496 22917 24786 30556 33048 37179 45834 49572 61112 68751 74358 91668 99144 129863 137502 148716 183336 206253 259726 275004 297432 389589 412506 519452 550008 618759 779178 825012 1038904 1168767 1237518 1558356 1650024 1856277 2337534 2475036 3116712 3506301 3712554 4675068 4950072 5568831 7012602 7425108 9350136 10518903 11137662 14025204 14850216 16706493 21037806 22275324 28050408 31556709 33412986 42075612 44550648 63113418 66825972 84151224 94670127 126226836 133651944 189340254 252453672 284010381 378680508 568020762 757361016 1136041524 2272083048