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2022132 = 2237219181
BaseRepresentation
bin111101101101011110100
310210201211210
413231223310
51004202012
6111201420
723121300
oct7555364
93721753
102022132
111161292
12816270
1355a538
143a8d00
1529e23c
hex1edaf4

2022132 has 72 divisors (see below), whose sum is σ = 5809440. Its totient is φ = 544320.

The previous prime is 2022103. The next prime is 2022149. The reversal of 2022132 is 2312202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11082 + ... + 11262.

22022132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904720).

2022132 is an abundant number, since it is smaller than the sum of its proper divisors (3787308).

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

2022132 is a wasteful number, since it uses less digits than its factorization.

2022132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 212 counting only the distinct ones).

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

The square root of 2022132 is about 1422.0168775370. The cubic root of 2022132 is about 126.4551440478.

Subtracting from 2022132 its product of nonzero digits (48), we obtain a square (2022084 = 14222).

Adding to 2022132 its reverse (2312202), we get a palindrome (4334334).

The spelling of 2022132 in words is "two million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 181 196 228 266 294 362 399 532 543 588 724 798 931 1086 1267 1596 1862 2172 2534 2793 3439 3724 3801 5068 5586 6878 7602 8869 10317 11172 13756 15204 17738 20634 24073 26607 35476 41268 48146 53214 72219 96292 106428 144438 168511 288876 337022 505533 674044 1011066 2022132