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2114242432 = 2723612193
BaseRepresentation
bin111111000000100…
…1100011110000000
312110100022122101021
41332001030132000
513312221224212
6545443315224
7103251523051
oct17601143600
95410278337
102114242432
119954866a5
124b007bb14
13279036733
14160b16728
15c592c307
hex7e04c780

2114242432 has 96 divisors (see below), whose sum is σ = 4491480240. Its totient is φ = 989429760.

The previous prime is 2114242421. The next prime is 2114242457. The reversal of 2114242432 is 2342424112.

It is a super-2 number, since 2×21142424322 = 8940042122538549248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2114242397 and 2114242406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10954528 + ... + 10954720.

Almost surely, 22114242432 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 2114242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245740120).

2114242432 is an abundant number, since it is smaller than the sum of its proper divisors (2377237808).

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

2114242432 is an equidigital number, since it uses as much as digits as its factorization.

2114242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 279 counting only the distinct ones).

The product of its digits is 3072, while the sum is 25.

The square root of 2114242432 is about 45980.8920313645. The cubic root of 2114242432 is about 1283.4676545676.

Adding to 2114242432 its reverse (2342424112), we get a palindrome (4456666544).

The spelling of 2114242432 in words is "two billion, one hundred fourteen million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 61 64 92 122 128 184 193 244 368 386 488 736 772 976 1403 1472 1544 1952 2806 2944 3088 3721 3904 4439 5612 6176 7442 7808 8878 11224 11773 12352 14884 17756 22448 23546 24704 29768 35512 44896 47092 59536 71024 85583 89792 94184 119072 142048 171166 179584 188368 238144 270779 284096 342332 376736 476288 541558 568192 684664 718153 753472 1083116 1369328 1436306 1506944 2166232 2738656 2872612 4332464 5477312 5745224 8664928 10954624 11490448 16517519 17329856 22980896 33035038 34659712 45961792 66070076 91923584 132140152 264280304 528560608 1057121216 2114242432