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22442040420 = 22351016076101
BaseRepresentation
bin10100111001101001…
…100101110001100100
32010221000122202221020
4110321221211301210
5331430130243140
614150522451140
71423064124162
oct247151456144
963830582836
1022442040420
119576a46148
124423963ab0
1321685c2a77
14112c76a232
158b53486d0
hex539a65c64

22442040420 has 96 divisors (see below), whose sum is σ = 63574834176. Its totient is φ = 5914560000.

The previous prime is 22442040389. The next prime is 22442040451. The reversal of 22442040420 is 2404024422.

It is an interprime number because it is at equal distance from previous prime (22442040389) and next prime (22442040451).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3675370 + ... + 3681470.

It is an arithmetic number, because the mean of its divisors is an integer number (662237856).

Almost surely, 222442040420 is an apocalyptic number.

22442040420 is a gapful number since it is divisible by the number (20) 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 22442040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31787417088).

22442040420 is an abundant number, since it is smaller than the sum of its proper divisors (41132793756).

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

22442040420 is a wasteful number, since it uses less digits than its factorization.

22442040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6821 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 22442040420 its reverse (2404024422), we get a palindrome (24846064842).

The spelling of 22442040420 in words is "twenty-two billion, four hundred forty-two million, forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 607 1010 1212 1214 1515 1821 2020 2428 3030 3035 3642 6060 6070 6101 7284 9105 12140 12202 18210 18303 24404 30505 36420 36606 61010 61307 73212 91515 122020 122614 183030 183921 245228 306535 366060 367842 613070 616201 735684 919605 1226140 1232402 1839210 1848603 2464804 3081005 3678420 3697206 3703307 6162010 7394412 7406614 9243015 11109921 12324020 14813228 18486030 18516535 22219842 36972060 37033070 44439684 55549605 74066140 111099210 222198420 374034007 748068014 1122102021 1496136028 1870170035 2244204042 3740340070 4488408084 5610510105 7480680140 11221020210 22442040420