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2422114002 = 234721127739
BaseRepresentation
bin1001000001011110…
…1000011011010010
320020210122010210000
42100113220123102
514430030122002
61040202150430
7114010425600
oct22027503322
96223563700
102422114002
111033247110
125771b2416
132c7a5c369
1418d978870
15e299361c
hex905e86d2

2422114002 has 120 divisors (see below), whose sum is σ = 6887620080. Its totient is φ = 629097840.

The previous prime is 2422113989. The next prime is 2422114043. The reversal of 2422114002 is 2004112242.

2422114002 is a `hidden beast` number, since 242 + 21 + 1 + 400 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 73449 + ... + 101187.

It is an arithmetic number, because the mean of its divisors is an integer number (57396834).

Almost surely, 22422114002 is an apocalyptic number.

2422114002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422114002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443810040).

2422114002 is an abundant number, since it is smaller than the sum of its proper divisors (4465506078).

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

2422114002 is a wasteful number, since it uses less digits than its factorization.

2422114002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27778 (or 27762 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2422114002 is about 49214.9774154169. The cubic root of 2422114002 is about 1342.9655125448.

Adding to 2422114002 its reverse (2004112242), we get a palindrome (4426226244).

The spelling of 2422114002 in words is "two billion, four hundred twenty-two million, one hundred fourteen thousand, two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 81 98 99 126 147 154 162 189 198 231 294 297 378 441 462 539 567 594 693 882 891 1078 1134 1323 1386 1617 1782 2079 2646 3234 3969 4158 4851 6237 7938 9702 12474 14553 27739 29106 43659 55478 83217 87318 166434 194173 249651 305129 388346 499302 582519 610258 748953 915387 1165038 1359211 1497906 1747557 1830774 2135903 2246859 2718422 2746161 3495114 4077633 4271806 4493718 5242671 5492322 6407709 8155266 8238483 10485342 12232899 12815418 14951321 15728013 16476966 19223127 24465798 24715449 29902642 31456026 36698697 38446254 44853963 49430898 57669381 73397394 89707926 110096091 115338762 134561889 173008143 220192182 269123778 346016286 403685667 807371334 1211057001 2422114002