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422112202211224 = 23714071535691699
BaseRepresentation
bin101111111111010001010011…
…1110111100011111110011000
32001100120112101010211101000101
41133332202213313203332120
5420311341242231224344
64053431400232545144
7154624412605351540
oct13776424767437630
92040515333741011
10422112202211224
111125528637844a8
123b41420a5521b4
131516c0188b99c5
1476344a7bd0320
1533c01915919d4
hex17fe8a7de3f98

422112202211224 has 32 divisors (see below), whose sum is σ = 904590432288000. Its totient is φ = 180892372580640.

The previous prime is 422112202211201. The next prime is 422112202211303.

It is a happy number.

422112202211224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4221122022112242 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 422112202211192 and 422112202211201.

It is a congruent number.

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, 267057874 + ... + 268633825.

It is an arithmetic number, because the mean of its divisors is an integer number (28268451009000).

Almost surely, 2422112202211224 is an apocalyptic number.

It is an amenable number.

422112202211224 is an abundant number, since it is smaller than the sum of its proper divisors (482478230076776).

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

422112202211224 is a wasteful number, since it uses less digits than its factorization.

422112202211224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535705783 (or 535705779 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 42211220 and 2211224, that added together give a palindrome (44422444).

The spelling of 422112202211224 in words is "four hundred twenty-two trillion, one hundred twelve billion, two hundred two million, two hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 14071 28142 56284 98497 112568 196994 393988 787976 535691699 1071383398 2142766796 3749841893 4285533592 7499683786 14999367572 29998735144 7537717896629 15075435793258 30150871586516 52764025276403 60301743173032 105528050552806 211056101105612 422112202211224