Search a number
-
+
22429400130 = 23252347922621
BaseRepresentation
bin10100111000111001…
…010111110001000010
32010220010212120201100
4110320321113301002
5331413411301010
614145351515230
71422551520054
oct247071276102
963803776640
1022429400130
11956a8a2325
12441b688b16
132165ab84c7
14112abd98d4
158b419d2c0
hex538e57c42

22429400130 has 96 divisors (see below), whose sum is σ = 60981672960. Its totient is φ = 5708926080.

The previous prime is 22429400129. The next prime is 22429400141. The reversal of 22429400130 is 3100492422.

22429400130 is a `hidden beast` number, since 2 + 242 + 9 + 400 + 13 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22429400094 and 22429400103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 980220 + ... + 1002840.

It is an arithmetic number, because the mean of its divisors is an integer number (635225760).

Almost surely, 222429400130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22429400130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30490836480).

22429400130 is an abundant number, since it is smaller than the sum of its proper divisors (38552272830).

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

22429400130 is a wasteful number, since it uses less digits than its factorization.

22429400130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23136 (or 23133 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 22429400130 its reverse (3100492422), we get a palindrome (25529892552).

The spelling of 22429400130 in words is "twenty-two billion, four hundred twenty-nine million, four hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 479 690 958 1035 1437 2070 2395 2874 4311 4790 7185 8622 11017 14370 21555 22034 22621 33051 43110 45242 55085 66102 67863 99153 110170 113105 135726 165255 198306 203589 226210 330510 339315 407178 495765 520283 678630 991530 1017945 1040566 1560849 2035890 2601415 3121698 4682547 5202830 7804245 9365094 10835459 15608490 21670918 23412735 32506377 46825470 54177295 65012754 97519131 108354590 162531885 195038262 249215557 325063770 487595655 498431114 747646671 975191310 1246077785 1495293342 2242940013 2492155570 3738233355 4485880026 7476466710 11214700065 22429400130