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215154323142 = 23112457648481
BaseRepresentation
bin1100100001100000110…
…0100110111011000110
3202120100110211001201220
43020120030212323012
512011114001320032
6242501315501210
721354503400063
oct3103014467306
9676313731656
10215154323142
1183279008500
12358468b7806
131739ab1baa5
14a5b09d7c6a
1558e3abe12c
hex3218326ec6

215154323142 has 48 divisors (see below), whose sum is σ = 474019590576. Its totient is φ = 65055513600.

The previous prime is 215154323099. The next prime is 215154323149. The reversal of 215154323142 is 241323451512.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215154323149) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7542 + ... + 656022.

It is an arithmetic number, because the mean of its divisors is an integer number (9875408137).

Almost surely, 2215154323142 is an apocalyptic number.

215154323142 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 215154323142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237009795288).

215154323142 is an abundant number, since it is smaller than the sum of its proper divisors (258865267434).

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

215154323142 is a wasteful number, since it uses less digits than its factorization.

215154323142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648965 (or 648954 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

Adding to 215154323142 its reverse (241323451512), we get a palindrome (456477774654).

The spelling of 215154323142 in words is "two hundred fifteen billion, one hundred fifty-four million, three hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 457 726 914 1371 2742 5027 10054 15081 30162 55297 110594 165891 331782 648481 1296962 1945443 3890886 7133291 14266582 21399873 42799746 78466201 156932402 235398603 296355817 470797206 592711634 889067451 1778134902 3259913987 6519827974 9779741961 19559483922 35859053857 71718107714 107577161571 215154323142