Search a number
-
+
23133221430 = 23511198234483
BaseRepresentation
bin10101100010110110…
…001111001000110110
32012201012020102000220
4111202312033020312
5334334101041210
614343253115210
71446156065154
oct254266171066
965635212026
1023133221430
1198a1111720
124597328b06
132248865007
14119648a3d4
15905d77c70
hex562d8f236

23133221430 has 128 divisors (see below), whose sum is σ = 63846420480. Its totient is φ = 5305253760.

The previous prime is 23133221407. The next prime is 23133221431. The reversal of 23133221430 is 3412233132.

It is a super-2 number, since 2×231332214302 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23133221430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23133221431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5157969 + ... + 5162451.

It is an arithmetic number, because the mean of its divisors is an integer number (498800160).

Almost surely, 223133221430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23133221430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31923210240).

23133221430 is an abundant number, since it is smaller than the sum of its proper divisors (40713199050).

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

23133221430 is a wasteful number, since it uses less digits than its factorization.

23133221430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5346.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 23133221430 its reverse (3412233132), we get a palindrome (26545454562).

The spelling of 23133221430 in words is "twenty-three billion, one hundred thirty-three million, two hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 823 1045 1254 1646 2090 2469 3135 4115 4483 4938 6270 8230 8966 9053 12345 13449 15637 18106 22415 24690 26898 27159 31274 44830 45265 46911 49313 54318 67245 78185 85177 90530 93822 98626 134490 135795 147939 156370 170354 172007 234555 246565 255531 271590 295878 344014 425885 469110 493130 511062 516021 739695 851770 860035 936947 1032042 1277655 1479390 1720070 1873894 2555310 2580105 2810841 3689509 4684735 5160210 5621682 7379018 9369470 11068527 14054205 18447545 22137054 28108410 36895090 40584599 55342635 70100671 81169198 110685270 121753797 140201342 202922995 210302013 243507594 350503355 405845990 420604026 608768985 701006710 771107381 1051510065 1217537970 1542214762 2103020130 2313322143 3855536905 4626644286 7711073810 11566610715 23133221430