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22312223442 = 2333716696691
BaseRepresentation
bin10100110001111010…
…011000001011010010
32010120222101101112000
4110301322120023102
5331143412122232
614130004214430
71416626525055
oct246172301322
963528341460
1022312223442
11950a739793
1243a839a416
13214773c6a2
141119416a9c
158a8c5427c
hex531e982d2

22312223442 has 64 divisors (see below), whose sum is σ = 50960918400. Its totient is φ = 7230980160.

The previous prime is 22312223413. The next prime is 22312223449. The reversal of 22312223442 is 24432221322.

22312223442 is a `hidden beast` number, since 2 + 2 + 312 + 2 + 2 + 344 + 2 = 666.

It is a super-3 number, since 3×223122234423 (a number of 32 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22312223449) 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, 3331317 + ... + 3338007.

It is an arithmetic number, because the mean of its divisors is an integer number (796264350).

Almost surely, 222312223442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22312223442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25480459200).

22312223442 is an abundant number, since it is smaller than the sum of its proper divisors (28648694958).

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

22312223442 is a wasteful number, since it uses less digits than its factorization.

22312223442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8408 (or 8402 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

Adding to 22312223442 its reverse (24432221322), we get a palindrome (46744444764).

The spelling of 22312223442 in words is "twenty-two billion, three hundred twelve million, two hundred twenty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1669 1998 3338 5007 6691 10014 13382 15021 20073 30042 40146 45063 60219 61753 90126 120438 123506 180657 185259 247567 361314 370518 495134 555777 742701 1111554 1485402 1667331 2228103 3334662 4456206 6684309 11167279 13368618 22334558 33501837 67003674 100505511 201011022 301516533 413189323 603033066 826378646 1239567969 2479135938 3718703907 7437407814 11156111721 22312223442