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122232220 = 225111015501
BaseRepresentation
bin1110100100100…
…01110110011100
322112000001002021
413102101312130
5222242412340
620043505524
73012646105
oct722216634
9275001067
10122232220
1162aa6970
1234b282a4
131c428c76
141233b3ac
15aae6e4a
hex7491d9c

122232220 has 48 divisors (see below), whose sum is σ = 282846816. Its totient is φ = 44000000.

The previous prime is 122232181. The next prime is 122232221. The reversal of 122232220 is 22232221.

It is a super-2 number, since 2×1222322202 = 29881431212256800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122232194 and 122232203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122232221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19470 + ... + 24970.

It is an arithmetic number, because the mean of its divisors is an integer number (5892642).

Almost surely, 2122232220 is an apocalyptic number.

122232220 is a gapful number since it is divisible by the number (10) 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 122232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141423408).

122232220 is an abundant number, since it is smaller than the sum of its proper divisors (160614596).

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

122232220 is a wasteful number, since it uses less digits than its factorization.

122232220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5622 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 122232220 is about 11055.8681251180. The cubic root of 122232220 is about 496.2820488706.

Adding to 122232220 its reverse (22232221), we get a palindrome (144464441).

Subtracting from 122232220 its reverse (22232221), we obtain a palindrome (99999999).

The spelling of 122232220 in words is "one hundred twenty-two million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5501 5555 11002 11110 22004 22220 27505 55010 60511 110020 121022 242044 302555 555601 605110 1111202 1210220 2222404 2778005 5556010 6111611 11112020 12223222 24446444 30558055 61116110 122232220