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2272563384 = 2337133728123
BaseRepresentation
bin1000011101110100…
…1001000010111000
312212101020011220020
42013131021002320
514123234012014
61013300530440
7110213320140
oct20735110270
95771204806
102272563384
11a66891563
125350b0a20
132a2a89b80
14177b69920
15d47a21a9
hex877490b8

2272563384 has 128 divisors (see below), whose sum is σ = 7181744640. Its totient is φ = 583137792.

The previous prime is 2272563367. The next prime is 2272563427. The reversal of 2272563384 is 4833652722.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66747 + ... + 94869.

It is an arithmetic number, because the mean of its divisors is an integer number (56107380).

Almost surely, 22272563384 is an apocalyptic number.

2272563384 is a gapful number since it is divisible by the number (24) 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 2272563384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590872320).

2272563384 is an abundant number, since it is smaller than the sum of its proper divisors (4909181256).

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

2272563384 is a wasteful number, since it uses less digits than its factorization.

2272563384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28189 (or 28185 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 2272563384 is about 47671.4105518182. The cubic root of 2272563384 is about 1314.7363433103.

The spelling of 2272563384 in words is "two billion, two hundred seventy-two million, five hundred sixty-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 37 39 42 52 56 74 78 84 91 104 111 148 156 168 182 222 259 273 296 312 364 444 481 518 546 728 777 888 962 1036 1092 1443 1554 1924 2072 2184 2886 3108 3367 3848 5772 6216 6734 10101 11544 13468 20202 26936 28123 40404 56246 80808 84369 112492 168738 196861 224984 337476 365599 393722 590583 674952 731198 787444 1040551 1096797 1181166 1462396 1574888 2081102 2193594 2362332 2559193 2924792 3121653 4162204 4387188 4724664 5118386 6243306 7283857 7677579 8324408 8774376 10236772 12486612 13527163 14567714 15355158 20473544 21851571 24973224 27054326 29135428 30710316 40581489 43703142 54108652 58270856 61420632 81162978 87406284 94690141 108217304 162325956 174812568 189380282 284070423 324651912 378760564 568140846 757521128 1136281692 2272563384