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122232222 = 23277397137
BaseRepresentation
bin1110100100100…
…01110110011110
322112000001002100
413102101312132
5222242412342
620043505530
73012646110
oct722216636
9275001070
10122232222
1162aa6972
1234b282a6
131c428c78
141233b3b0
15aae6e4c
hex7491d9e

122232222 has 96 divisors (see below), whose sum is σ = 312242112. Its totient is φ = 33841152.

The previous prime is 122232221. The next prime is 122232239. The reversal of 122232222 is 222232221.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122232195 and 122232204.

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 47 ways as a sum of consecutive naturals, for example, 892138 + ... + 892274.

It is an arithmetic number, because the mean of its divisors is an integer number (3252522).

Almost surely, 2122232222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122232222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156121056).

122232222 is an abundant number, since it is smaller than the sum of its proper divisors (190009890).

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

122232222 is a wasteful number, since it uses less digits than its factorization.

122232222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 319 counting only the distinct ones).

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

The square root of 122232222 is about 11055.8682155677. The cubic root of 122232222 is about 496.2820515774.

Adding to 122232222 its reverse (222232221), we get a palindrome (344464443).

Subtracting 122232222 from its reverse (222232221), we obtain a palindrome (99999999).

The spelling of 122232222 in words is "one hundred twenty-two million, two hundred thirty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 97 126 137 146 194 219 274 291 411 438 511 582 657 679 822 873 959 1022 1233 1314 1358 1533 1746 1918 2037 2466 2877 3066 4074 4599 5754 6111 7081 8631 9198 10001 12222 13289 14162 17262 20002 21243 26578 30003 39867 42486 49567 60006 63729 70007 79734 90009 93023 99134 119601 127458 140014 148701 180018 186046 210021 239202 279069 297402 420042 446103 558138 630063 837207 892206 970097 1260126 1674414 1940194 2910291 5820582 6790679 8730873 13581358 17461746 20372037 40744074 61116111 122232222