Search a number
-
+
122210190 = 23251399769
BaseRepresentation
bin1110100100011…
…00011110001110
322111221220212100
413102030132032
5222241211230
620043215530
73012524634
oct722143616
9274856770
10122210190
1162a91363
1234b175a6
131c41bc2b
1412333354
15aae0660
hex748c78e

122210190 has 48 divisors (see below), whose sum is σ = 320065200. Its totient is φ = 32351616.

The previous prime is 122210183. The next prime is 122210191. The reversal of 122210190 is 91012221.

It is a super-2 number, since 2×1222101902 = 29870661079672200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122210191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7626 + ... + 17394.

It is an arithmetic number, because the mean of its divisors is an integer number (6668025).

Almost surely, 2122210190 is an apocalyptic number.

122210190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122210190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160032600).

122210190 is an abundant number, since it is smaller than the sum of its proper divisors (197855010).

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

122210190 is a wasteful number, since it uses less digits than its factorization.

122210190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9921 (or 9918 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 122210190 is about 11054.8717767326. The cubic root of 122210190 is about 496.2522319902.

The spelling of 122210190 in words is "one hundred twenty-two million, two hundred ten thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 1251 1390 2085 2502 4170 6255 9769 12510 19538 29307 48845 58614 87921 97690 146535 175842 293070 439605 879210 1357891 2715782 4073673 6789455 8147346 12221019 13578910 20368365 24442038 40736730 61105095 122210190