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2222142144 = 26343326729
BaseRepresentation
bin1000010001110011…
…0011001011000000
312201212100111221220
42010130303023000
514022332022034
61004300115040
7106031616345
oct20434631300
95655314856
102222142144
11a40383312
12520235a80
132954b4b11
141711a27cc
15d0142749
hex847332c0

2222142144 has 56 divisors (see below), whose sum is σ = 5893216560. Its totient is φ = 738975744.

The previous prime is 2222142101. The next prime is 2222142163. The reversal of 2222142144 is 4412412222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69772 + ... + 96500.

It is an arithmetic number, because the mean of its divisors is an integer number (105236010).

Almost surely, 22222142144 is an apocalyptic number.

2222142144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946608280).

2222142144 is an abundant number, since it is smaller than the sum of its proper divisors (3671074416).

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

2222142144 is a wasteful number, since it uses less digits than its factorization.

2222142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27177 (or 27167 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 2222142144 is about 47139.6027136420. The cubic root of 2222142144 is about 1304.9402054193.

Adding to 2222142144 its reverse (4412412222), we get a palindrome (6634554366).

The spelling of 2222142144 in words is "two billion, two hundred twenty-two million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 433 866 1299 1732 2598 3464 5196 6928 10392 13856 20784 26729 27712 41568 53458 80187 83136 106916 160374 213832 320748 427664 641496 855328 1282992 1710656 2565984 5131968 11573657 23147314 34720971 46294628 69441942 92589256 138883884 185178512 277767768 370357024 555535536 740714048 1111071072 2222142144