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2122312304 = 247223373181
BaseRepresentation
bin111111001111111…
…1110101001110000
312110220111122011102
41332133332221300
513321302443204
6550332303532
7103410233300
oct17637765160
95426448142
102122312304
11999a98712
124b2911ba8
1327a9008c8
14161c17600
15c64c341e
hex7e7fea70

2122312304 has 120 divisors (see below), whose sum is σ = 5127805728. Its totient is φ = 846236160.

The previous prime is 2122312303. The next prime is 2122312349. The reversal of 2122312304 is 4032132212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122312303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665594 + ... + 668774.

Almost surely, 22122312304 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 2122312304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563902864).

2122312304 is an abundant number, since it is smaller than the sum of its proper divisors (3005493424).

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

2122312304 is a wasteful number, since it uses less digits than its factorization.

2122312304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2122312304 is about 46068.5609065445. The cubic root of 2122312304 is about 1285.0985412982.

Adding to 2122312304 its reverse (4032132212), we get a palindrome (6154444516).

The spelling of 2122312304 in words is "two billion, one hundred twenty-two million, three hundred twelve thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 37 46 49 56 74 92 98 112 148 161 184 196 259 296 322 368 392 518 592 644 784 851 1036 1127 1288 1702 1813 2072 2254 2576 3181 3404 3626 4144 4508 5957 6362 6808 7252 9016 11914 12724 13616 14504 18032 22267 23828 25448 29008 41699 44534 47656 50896 73163 83398 89068 95312 117697 146326 155869 166796 178136 235394 292652 311738 333592 356272 470788 512141 585304 623476 667184 823879 941576 1024282 1170608 1246952 1647758 1883152 2048564 2493904 2707031 3295516 3584987 4097128 5414062 5767153 6591032 7169974 8194256 10828124 11534306 13182064 14339948 18949217 21656248 23068612 28679896 37898434 43312496 46137224 57359792 75796868 92274448 132644519 151593736 265289038 303187472 530578076 1061156152 2122312304