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4227132 = 223731379
BaseRepresentation
bin10000001000000000111100
321221202112110
4100020000330
52040232012
6230334020
750634000
oct20100074
97852473
104227132
1124279a8
1214ba310
13b50080
147c0700
1558773c
hex40803c

4227132 has 96 divisors (see below), whose sum is σ = 12544000. Its totient is φ = 1100736.

The previous prime is 4227109. The next prime is 4227137. The reversal of 4227132 is 2317224.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 = 4227099 and 4227108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4227137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53469 + ... + 53547.

Almost surely, 24227132 is an apocalyptic number.

4227132 is a gapful number since it is divisible by the number (42) 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 4227132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272000).

4227132 is an abundant number, since it is smaller than the sum of its proper divisors (8316868).

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

4227132 is a wasteful number, since it uses less digits than its factorization.

4227132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 4227132 is about 2055.9990272371. Note that the first 3 decimals coincide. The cubic root of 4227132 is about 161.6895441226.

The spelling of 4227132 in words is "four million, two hundred twenty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 79 84 91 98 147 156 158 182 196 237 273 294 316 343 364 474 546 553 588 637 686 948 1027 1029 1092 1106 1274 1372 1659 1911 2054 2058 2212 2548 3081 3318 3822 3871 4108 4116 4459 6162 6636 7189 7644 7742 8918 11613 12324 13377 14378 15484 17836 21567 23226 26754 27097 28756 43134 46452 50323 53508 54194 81291 86268 100646 108388 150969 162582 201292 301938 325164 352261 603876 704522 1056783 1409044 2113566 4227132