Search a number
-
+
4022424100 = 225273551017
BaseRepresentation
bin1110111111000001…
…0101001000100100
3101101022220022112101
43233300111020210
531214220032400
61503050301444
7201452016652
oct35760251044
911338808471
104022424100
11178460a842
12943127884
134c1473306
142a230ddd2
1518820456a
hexefc15224

4022424100 has 36 divisors (see below), whose sum is σ = 8848247044. Its totient is φ = 1586926080.

The previous prime is 4022424067. The next prime is 4022424169. The reversal of 4022424100 is 14242204.

It can be written as a sum of positive squares in 6 ways, for example, as 200958976 + 3821465124 = 14176^2 + 61818^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268209 + ... + 282808.

Almost surely, 24022424100 is an apocalyptic number.

It is an amenable number.

4022424100 is an abundant number, since it is smaller than the sum of its proper divisors (4825822944).

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

4022424100 is a wasteful number, since it uses less digits than its factorization.

4022424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551104 (or 551097 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 4022424100 is about 63422.5835172299. The cubic root of 4022424100 is about 1590.3618627094.

Adding to 4022424100 its reverse (14242204), we get a palindrome (4036666304).

The spelling of 4022424100 in words is "four billion, twenty-two million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 551017 1102034 2204068 2755085 5510170 11020340 13775425 27550850 40224241 55101700 80448482 160896964 201121205 402242410 804484820 1005606025 2011212050 4022424100