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1224212004 = 22325929769
BaseRepresentation
bin100100011110111…
…1111111000100100
310011022120102011100
41020331333320210
510001344241004
6321251040100
742223426131
oct11075777044
93138512140
101224212004
11579043664
122a1ba0030
13166820b02
14b8833588
157271e739
hex48f7fe24

1224212004 has 54 divisors (see below), whose sum is σ = 3148196870. Its totient is φ = 401113152.

The previous prime is 1224211991. The next prime is 1224212039. The reversal of 1224212004 is 4002124221.

It can be written as a sum of positive squares in only one way, i.e., 970447104 + 253764900 = 31152^2 + 15930^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 120432 + ... + 130200.

Almost surely, 21224212004 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 1224212004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574098435).

1224212004 is an abundant number, since it is smaller than the sum of its proper divisors (1923984866).

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

1224212004 is a wasteful number, since it uses less digits than its factorization.

1224212004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9897 (or 9833 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1224212004 is about 34988.7411033892. The cubic root of 1224212004 is about 1069.7580039100.

Adding to 1224212004 its reverse (4002124221), we get a palindrome (5226336225).

The spelling of 1224212004 in words is "one billion, two hundred twenty-four million, two hundred twelve thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 3481 6962 9769 10443 13924 19538 20886 29307 31329 39076 41772 58614 62658 87921 117228 125316 175842 351684 576371 1152742 1729113 2305484 3458226 5187339 6916452 10374678 20749356 34005889 68011778 102017667 136023556 204035334 306053001 408070668 612106002 1224212004