Search a number
-
+
22300002424 = 2378315730559
BaseRepresentation
bin10100110001001011…
…110000100001111000
32010120010101111102201
4110301023300201320
5331132300034144
614124450235544
71416420615220
oct246113604170
963503344381
1022300002424
119503851977
1243a4285bb4
132145050c0b
141117955080
158a7b3d1d4
hex5312f0878

22300002424 has 64 divisors (see below), whose sum is σ = 48671078400. Its totient is φ = 9381550464.

The previous prime is 22300002409. The next prime is 22300002451. The reversal of 22300002424 is 42420000322.

It is a super-2 number, since 2×223000024242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 714457 + ... + 745015.

It is an arithmetic number, because the mean of its divisors is an integer number (760485600).

Almost surely, 222300002424 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 22300002424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24335539200).

22300002424 is an abundant number, since it is smaller than the sum of its proper divisors (26371075976).

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

22300002424 is a wasteful number, since it uses less digits than its factorization.

22300002424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30812 (or 30808 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 22300002424 its reverse (42420000322), we get a palindrome (64720002746).

The spelling of 22300002424 in words is "twenty-two billion, three hundred million, two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 83 157 166 314 332 581 628 664 1099 1162 1256 2198 2324 4396 4648 8792 13031 26062 30559 52124 61118 91217 104248 122236 182434 213913 244472 364868 427826 729736 855652 1711304 2536397 4797763 5072794 9595526 10145588 17754779 19191052 20291176 33584341 35509558 38382104 67168682 71019116 134337364 142038232 268674728 398214329 796428658 1592857316 2787500303 3185714632 5575000606 11150001212 22300002424