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2222012142 = 233756910331
BaseRepresentation
bin1000010001110001…
…0011011011101110
312201212002220122000
42010130103123232
514022313342032
61004253233130
7106030535340
oct20434233356
95655086560
102222012142
11a402a4679
125201927a6
1329546a8ac
1417116b290
15d0118e7c
hex847136ee

2222012142 has 64 divisors (see below), whose sum is σ = 5653670400. Its totient is φ = 633683520.

The previous prime is 2222012131. The next prime is 2222012159. The reversal of 2222012142 is 2412102222.

2222012142 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209917 + ... + 220247.

It is an arithmetic number, because the mean of its divisors is an integer number (88338600).

Almost surely, 22222012142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222012142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826835200).

2222012142 is an abundant number, since it is smaller than the sum of its proper divisors (3431658258).

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

2222012142 is a wasteful number, since it uses less digits than its factorization.

2222012142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10918 (or 10912 counting only the distinct ones).

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

The square root of 2222012142 is about 47138.2237891926. The cubic root of 2222012142 is about 1304.9147572805.

Adding to 2222012142 its reverse (2412102222), we get a palindrome (4634114364).

The spelling of 2222012142 in words is "two billion, two hundred twenty-two million, twelve thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 569 1138 1707 3414 3983 5121 7966 10242 10331 11949 15363 20662 23898 30726 30993 35847 61986 71694 72317 92979 107541 144634 185958 215082 216951 278937 433902 557874 650853 1301706 1952559 3905118 5878339 11756678 17635017 35270034 41148373 52905051 82296746 105810102 123445119 158715153 246890238 317430306 370335357 740670714 1111006071 2222012142