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2202140142 = 233534331777
BaseRepresentation
bin1000001101000001…
…1111110111101110
312200110201022101000
42003100133313232
514002221441032
61002303301130
7105366611436
oct20320376756
95613638330
102202140142
11a30061534
125155aa7a6
13291300807
1416c6772c6
15cd4e0e7c
hex8341fdee

2202140142 has 64 divisors (see below), whose sum is σ = 5000304960. Its totient is φ = 718129152.

The previous prime is 2202140141. The next prime is 2202140167. The reversal of 2202140142 is 2410412022.

2202140142 is a `hidden beast` number, since 220 + 2 + 1 + 401 + 42 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202140141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1238358 + ... + 1240134.

It is an arithmetic number, because the mean of its divisors is an integer number (78129765).

Almost surely, 22202140142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202140142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500152480).

2202140142 is an abundant number, since it is smaller than the sum of its proper divisors (2798164818).

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

2202140142 is a wasteful number, since it uses less digits than its factorization.

2202140142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2202140142 is about 46926.9660429907. The cubic root of 2202140142 is about 1301.0130450779.

Adding to 2202140142 its reverse (2410412022), we get a palindrome (4612552164).

The spelling of 2202140142 in words is "two billion, two hundred two million, one hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 433 477 866 954 1299 1431 1777 2598 2862 3554 3897 5331 7794 10662 11691 15993 22949 23382 31986 45898 47979 68847 94181 95958 137694 188362 206541 282543 413082 565086 619623 769441 847629 1239246 1538882 1695258 2308323 2542887 4616646 5085774 6924969 13849938 20774907 40780373 41549814 81560746 122341119 244682238 367023357 734046714 1101070071 2202140142