Search a number
-
+
2122402432 = 2771409571
BaseRepresentation
bin111111010000001…
…0100101010000000
312110220200012210111
41332200110222000
513321313334212
6550334241104
7103411060123
oct17640245200
95426605714
102122402432
1199a04a3a7
124b2956194
1327a932937
14161c3c3ba
15c64deea7
hex7e814a80

2122402432 has 64 divisors (see below), whose sum is σ = 4305787200. Its totient is φ = 1041868800.

The previous prime is 2122402427. The next prime is 2122402481. The reversal of 2122402432 is 2342042212.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3716707 + ... + 3717277.

It is an arithmetic number, because the mean of its divisors is an integer number (67277925).

Almost surely, 22122402432 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 2122402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152893600).

2122402432 is an abundant number, since it is smaller than the sum of its proper divisors (2183384768).

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

2122402432 is an equidigital number, since it uses as much as digits as its factorization.

2122402432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2122402432 is about 46069.5390903794. The cubic root of 2122402432 is about 1285.1167324196.

Adding to 2122402432 its reverse (2342042212), we get a palindrome (4464444644).

The spelling of 2122402432 in words is "two billion, one hundred twenty-two million, four hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 409 568 571 818 1136 1142 1636 2272 2284 3272 4544 4568 6544 9088 9136 13088 18272 26176 29039 36544 40541 52352 58078 73088 81082 116156 162164 232312 233539 324328 464624 467078 648656 929248 934156 1297312 1858496 1868312 2594624 3716992 3736624 5189248 7473248 14946496 16581269 29892992 33162538 66325076 132650152 265300304 530600608 1061201216 2122402432