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2132440422 = 2374159139151
BaseRepresentation
bin111111100011010…
…0111010101100110
312111121120012022220
41333012213111212
513331401043142
6551333333210
7103562305320
oct17706472546
95447505286
102132440422
119a4786062
124b6197206
1327ca38888
141632d2610
15c73242ec
hex7f1a7566

2132440422 has 128 divisors (see below), whose sum is σ = 5148057600. Its totient is φ = 576288000.

The previous prime is 2132440421. The next prime is 2132440447. The reversal of 2132440422 is 2240442312.

It is a junction number, because it is equal to n+sod(n) for n = 2132440392 and 2132440401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132440421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14122047 + ... + 14122197.

It is an arithmetic number, because the mean of its divisors is an integer number (40219200).

Almost surely, 22132440422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132440422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574028800).

2132440422 is an abundant number, since it is smaller than the sum of its proper divisors (3015617178).

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

2132440422 is a wasteful number, since it uses less digits than its factorization.

2132440422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2132440422 is about 46178.3544747970. The cubic root of 2132440422 is about 1287.1395509910.

Adding to 2132440422 its reverse (2240442312), we get a palindrome (4372882734).

The spelling of 2132440422 in words is "two billion, one hundred thirty-two million, four hundred forty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 41 42 59 82 118 123 139 151 177 246 278 287 302 354 413 417 453 574 826 834 861 906 973 1057 1239 1722 1946 2114 2419 2478 2919 3171 4838 5699 5838 6191 6342 7257 8201 8909 11398 12382 14514 16402 16933 17097 17818 18573 20989 24603 26727 33866 34194 37146 39893 41978 43337 49206 50799 53454 57407 62363 62967 79786 86674 101598 114814 119679 124726 125934 130011 146923 172221 187089 239358 260022 293846 336241 344442 365269 374178 440769 672482 730538 860549 881538 1008723 1095807 1238351 1721098 2017446 2191614 2353687 2476702 2556883 2581647 3715053 4707374 5113766 5163294 6023843 7061061 7430106 7670649 8668457 12047686 14122122 15341298 17336914 18071529 26005371 36143058 50772391 52010742 101544782 152317173 304634346 355406737 710813474 1066220211 2132440422