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22011132 = 2231113101127
BaseRepresentation
bin101001111110…
…1110011111100
31112102021121010
41103331303330
521113324012
62103435220
7355043253
oct123756374
945367533
1022011132
1111474320
127455b10
134738950
142ccd79a
151debc3c
hex14fdcfc

22011132 has 96 divisors (see below), whose sum is σ = 61415424. Its totient is φ = 6048000.

The previous prime is 22011131. The next prime is 22011149. The reversal of 22011132 is 23111022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173253 + ... + 173379.

It is an arithmetic number, because the mean of its divisors is an integer number (639744).

Almost surely, 222011132 is an apocalyptic number.

22011132 is a gapful number since it is divisible by the number (22) 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 22011132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30707712).

22011132 is an abundant number, since it is smaller than the sum of its proper divisors (39404292).

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

22011132 is a wasteful number, since it uses less digits than its factorization.

22011132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 22011132 is about 4691.6022849342. The cubic root of 22011132 is about 280.2511861598.

Adding to 22011132 its reverse (23111022), we get a palindrome (45122154).

It can be divided in two parts, 2201 and 1132, that added together give a palindrome (3333).

The spelling of 22011132 in words is "twenty-two million, eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 101 127 132 143 156 202 254 286 303 381 404 429 508 572 606 762 858 1111 1212 1313 1397 1524 1651 1716 2222 2626 2794 3302 3333 3939 4191 4444 4953 5252 5588 6604 6666 7878 8382 9906 12827 13332 14443 15756 16764 18161 19812 25654 28886 36322 38481 43329 51308 54483 57772 72644 76962 86658 108966 141097 153924 166751 173316 217932 282194 333502 423291 500253 564388 667004 846582 1000506 1693164 1834261 2001012 3668522 5502783 7337044 11005566 22011132