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20232243342 = 2342354110037
BaseRepresentation
bin10010110101111011…
…111000100010001110
31221020000112110020000
4102311323320202032
5312413423241332
613143343105130
71314242142123
oct226573704216
957200473200
1020232243342
118642634973
123b078a21a6
131ba584102c
14d9d09c74a
157d6343b7c
hex4b5ef888e

20232243342 has 80 divisors (see below), whose sum is σ = 47398472352. Its totient is φ = 6438294720.

The previous prime is 20232243329. The next prime is 20232243379. The reversal of 20232243342 is 24334223202.

It is a happy number.

20232243342 is a `hidden beast` number, since 2 + 0 + 2 + 322 + 4 + 334 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2010748 + ... + 2020784.

Almost surely, 220232243342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20232243342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23699236176).

20232243342 is an abundant number, since it is smaller than the sum of its proper divisors (27166229010).

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

20232243342 is a wasteful number, since it uses less digits than its factorization.

20232243342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10615 (or 10606 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 20232243342 its reverse (24334223202), we get a palindrome (44566466544).

The spelling of 20232243342 in words is "twenty billion, two hundred thirty-two million, two hundred forty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 541 621 1082 1242 1623 1863 3246 3726 4869 9738 10037 12443 14607 20074 24886 29214 30111 37329 43821 60222 74658 87642 90333 111987 180666 223974 230851 270999 335961 461702 541998 671922 692553 812997 1007883 1385106 1625994 2015766 2077659 4155318 5430017 6232977 10860034 12465954 16290051 18698931 32580102 37397862 48870153 97740306 124890391 146610459 249780782 293220918 374671173 439831377 749342346 879662754 1124013519 2248027038 3372040557 6744081114 10116121671 20232243342