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122222034 = 23411107641
BaseRepresentation
bin1110100100011…
…11010111010010
322111222112010000
413102033113102
5222242101114
620043350430
73012604314
oct722172722
9274875100
10122222034
1162a9a250
1234b22416
131c42443c
14123377b4
15aae3e09
hex748f5d2

122222034 has 80 divisors (see below), whose sum is σ = 302027616. Its totient is φ = 36633600.

The previous prime is 122222017. The next prime is 122222053. The reversal of 122222034 is 430222221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122221998 and 122222016.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 190354 + ... + 190994.

Almost surely, 2122222034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122222034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151013808).

122222034 is an abundant number, since it is smaller than the sum of its proper divisors (179805582).

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

122222034 is a wasteful number, since it uses less digits than its factorization.

122222034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 122222034 is about 11055.4074551778. The cubic root of 122222034 is about 496.2682629000.

Adding to 122222034 its reverse (430222221), we get a palindrome (552444255).

The spelling of 122222034 in words is "one hundred twenty-two million, two hundred twenty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 107 162 198 214 297 321 594 641 642 891 963 1177 1282 1782 1923 1926 2354 2889 3531 3846 5769 5778 7051 7062 8667 10593 11538 14102 17307 17334 21153 21186 31779 34614 42306 51921 63459 63558 68587 95337 103842 126918 137174 190377 190674 205761 380754 411522 571131 617283 754457 1142262 1234566 1508914 1851849 2263371 3703698 4526742 5555547 6790113 11111094 13580226 20370339 40740678 61111017 122222034