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4224132100422 = 23213197773118543
BaseRepresentation
bin111101011110000001111…
…001001011000101000110
3112221211020000210002211200
4331132001321023011012
51023202010304203142
612552312310443330
7614116634300043
oct75360171130506
915854200702750
104224132100422
1113894984a2013
125827b9363546
132484458b6770
141086404061ca
1574d2cd1664c
hex3d781e4b146

4224132100422 has 96 divisors (see below), whose sum is σ = 9919239378048. Its totient is φ = 1291451551488.

The previous prime is 4224132100417. The next prime is 4224132100459. The reversal of 4224132100422 is 2240012314224.

It is a happy number.

4224132100422 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 132 + 100 + 422 = 666.

4224132100422 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35574483 + ... + 35693025.

It is an arithmetic number, because the mean of its divisors is an integer number (103325410188).

Almost surely, 24224132100422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224132100422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959619689024).

4224132100422 is an abundant number, since it is smaller than the sum of its proper divisors (5695107277626).

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

4224132100422 is a wasteful number, since it uses less digits than its factorization.

4224132100422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119534 (or 119531 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4224132100422 its reverse (2240012314224), we get a palindrome (6464144414646).

The spelling of 4224132100422 in words is "four trillion, two hundred twenty-four billion, one hundred thirty-two million, one hundred thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 197 234 394 591 773 1182 1546 1773 2319 2561 3546 4638 5122 6957 7683 10049 13914 15366 20098 23049 30147 46098 60294 90441 118543 152281 180882 237086 304562 355629 456843 711258 913686 1066887 1370529 1541059 1979653 2133774 2741058 3082118 3959306 4623177 5938959 9246354 11877918 13869531 17816877 23352971 27739062 35633754 46705942 70058913 91633739 140117826 183267478 210176739 274901217 303588623 420353478 549802434 607177246 824703651 910765869 1191238607 1649407302 1821531738 2382477214 2732297607 3573715821 5464595214 7147431642 10721147463 18051846583 21442294926 36103693166 54155539749 108311079498 162466619247 234674005579 324933238494 469348011158 704022016737 1408044033474 2112066050211 4224132100422