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22122030 = 23572101149
BaseRepresentation
bin101010001100…
…0111000101110
31112121220201110
41110120320232
521130401110
62110052450
7356014500
oct124307056
945556643
1022122030
111153a677
1274aa126
134777278
142d1bd70
151e1ea20
hex1518e2e

22122030 has 96 divisors (see below), whose sum is σ = 62791200. Its totient is φ = 4972800.

The previous prime is 22122017. The next prime is 22122043. The reversal of 22122030 is 3022122.

It is an interprime number because it is at equal distance from previous prime (22122017) and next prime (22122043).

It is a super-2 number, since 2×221220302 = 978768422641800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22121997 and 22122015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148396 + ... + 148544.

It is an arithmetic number, because the mean of its divisors is an integer number (654075).

Almost surely, 222122030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31395600).

22122030 is an abundant number, since it is smaller than the sum of its proper divisors (40669170).

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

22122030 is a wasteful number, since it uses less digits than its factorization.

22122030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 22122030 is about 4703.4062125230. The cubic root of 22122030 is about 280.7210581980.

Adding to 22122030 its reverse (3022122), we get a palindrome (25144152).

The spelling of 22122030 in words is "twenty-two million, one hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 101 105 147 149 202 210 245 294 298 303 447 490 505 606 707 735 745 894 1010 1043 1414 1470 1490 1515 2086 2121 2235 3030 3129 3535 4242 4470 4949 5215 6258 7070 7301 9898 10430 10605 14602 14847 15049 15645 21210 21903 24745 29694 30098 31290 36505 43806 45147 49490 73010 74235 75245 90294 105343 109515 148470 150490 210686 219030 225735 316029 451470 526715 632058 737401 1053430 1474802 1580145 2212203 3160290 3687005 4424406 7374010 11061015 22122030