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2122430004 = 22323131979
BaseRepresentation
bin111111010000001…
…1011011000110100
312110220201121121200
41332200123120310
513321320230004
6550335012500
7103411233402
oct17640333064
95426647550
102122430004
1199a069092
124b296a130
1327a942356
14161c48472
15c64e8239
hex7e81b634

2122430004 has 72 divisors (see below), whose sum is σ = 5546661120. Its totient is φ = 684308880.

The previous prime is 2122429999. The next prime is 2122430021. The reversal of 2122430004 is 4000342212.

2122430004 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1071487 + ... + 1073465.

It is an arithmetic number, because the mean of its divisors is an integer number (77036960).

Almost surely, 22122430004 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 2122430004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773330560).

2122430004 is an abundant number, since it is smaller than the sum of its proper divisors (3424231116).

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

2122430004 is a wasteful number, since it uses less digits than its factorization.

2122430004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2122430004 is about 46069.8383326879. The cubic root of 2122430004 is about 1285.1222973530.

Adding to 2122430004 its reverse (4000342212), we get a palindrome (6122772216).

The spelling of 2122430004 in words is "two billion, one hundred twenty-two million, four hundred thirty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1116 1922 1979 2883 3844 3958 5766 5937 7916 8649 11532 11874 17298 17811 23748 29791 34596 35622 59582 61349 71244 89373 119164 122698 178746 184047 245396 268119 357492 368094 536238 552141 736188 1072476 1104282 1901819 2208564 3803638 5705457 7607276 11410914 17116371 22821828 34232742 58956389 68465484 117912778 176869167 235825556 353738334 530607501 707476668 1061215002 2122430004