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2272468284 = 223419735603
BaseRepresentation
bin1000011101110011…
…0001110100111100
312212101001100110000
42013130301310330
514123222441114
61013254514300
7110212442652
oct20734616474
95771040400
102272468284
11a66827069
12535065990
132a2a557b8
14177b42dd2
15d4783e09
hex87731d3c

2272468284 has 60 divisors (see below), whose sum is σ = 5971004424. Its totient is φ = 753623136.

The previous prime is 2272468199. The next prime is 2272468291. The reversal of 2272468284 is 4828642722.

It is a super-2 number, since 2×22724682842 = 10328224203571809312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46027 + ... + 81629.

Almost surely, 22272468284 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 2272468284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985502212).

2272468284 is an abundant number, since it is smaller than the sum of its proper divisors (3698536140).

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

2272468284 is a wasteful number, since it uses less digits than its factorization.

2272468284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35816 (or 35805 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 2272468284 is about 47670.4130882039. The cubic root of 2272468284 is about 1314.7180037895.

The spelling of 2272468284 in words is "two billion, two hundred seventy-two million, four hundred sixty-eight thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 197 324 394 591 788 1182 1773 2364 3546 5319 7092 10638 15957 21276 31914 35603 63828 71206 106809 142412 213618 320427 427236 640854 961281 1281708 1922562 2883843 3845124 5767686 7013791 11535372 14027582 21041373 28055164 42082746 63124119 84165492 126248238 189372357 252496476 378744714 568117071 757489428 1136234142 2272468284