Search a number
-
+
2122210304 = 2104348197
BaseRepresentation
bin111111001111110…
…0101110000000000
312110220022110020122
41332133211300000
513321241212204
6550330155412
7103406330024
oct17637456000
95426273218
102122210304
11999a29015
124b2882b68
1327a896356
14161bcc384
15c64a30be
hex7e7e5c00

2122210304 has 44 divisors (see below), whose sum is σ = 4341097464. Its totient is φ = 1036406784.

The previous prime is 2122210303. The next prime is 2122210309. The reversal of 2122210304 is 4030122212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122210303) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19934 + ... + 68130.

It is an arithmetic number, because the mean of its divisors is an integer number (98661306).

Almost surely, 22122210304 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 2122210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170548732).

2122210304 is an abundant number, since it is smaller than the sum of its proper divisors (2218887160).

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

2122210304 is an equidigital number, since it uses as much as digits as its factorization.

2122210304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48260 (or 48242 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2122210304 is about 46067.4538475918. The cubic root of 2122210304 is about 1285.0779533526.

Adding to 2122210304 its reverse (4030122212), we get a palindrome (6152332516).

The spelling of 2122210304 in words is "two billion, one hundred twenty-two million, two hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1024 1376 2752 5504 11008 22016 44032 48197 96394 192788 385576 771152 1542304 2072471 3084608 4144942 6169216 8289884 12338432 16579768 24676864 33159536 49353728 66319072 132638144 265276288 530552576 1061105152 2122210304