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22140003042 = 23219313206827
BaseRepresentation
bin10100100111101001…
…011010001011100010
32010010222022200112200
4110213221122023202
5330320320044132
614100533034030
71412435630553
oct244751321342
963128280480
1022140003042
1194314aaa83
12435a785916
13211ab60821
1411005c632a
15898a85d7c
hex527a5a2e2

22140003042 has 48 divisors (see below), whose sum is σ = 50656313760. Its totient is φ = 6969208896.

The previous prime is 22140003029. The next prime is 22140003047. The reversal of 22140003042 is 24030004122.

22140003042 is a `hidden beast` number, since 221 + 400 + 0 + 3 + 0 + 42 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22140003047) 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, 3633 + ... + 210459.

It is an arithmetic number, because the mean of its divisors is an integer number (1055339870).

Almost surely, 222140003042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22140003042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25328156880).

22140003042 is an abundant number, since it is smaller than the sum of its proper divisors (28516310718).

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

22140003042 is a wasteful number, since it uses less digits than its factorization.

22140003042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207167 (or 207164 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22140003042 its reverse (24030004122), we get a palindrome (46170007164).

The spelling of 22140003042 in words is "twenty-two billion, one hundred forty million, three thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 313 342 626 939 1878 2817 5634 5947 11894 17841 35682 53523 107046 206827 413654 620481 1240962 1861443 3722886 3929713 7859426 11789139 23578278 35367417 64736851 70734834 129473702 194210553 388421106 582631659 1165263318 1230000169 2460000338 3690000507 7380001014 11070001521 22140003042