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22143132 = 22351119109
BaseRepresentation
bin101010001111…
…0000010011100
31112122222200000
41110132002130
521132040012
62110334300
7356133144
oct124360234
945588600
1022143132
1111554510
1274ba390
134783a5b
142d25924
151e25ddc
hex151e09c

22143132 has 144 divisors (see below), whose sum is σ = 67267200. Its totient is φ = 6298560.

The previous prime is 22143127. The next prime is 22143133. The reversal of 22143132 is 23134122.

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.

Its product of digits (288) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22143133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203094 + ... + 203202.

Almost surely, 222143132 is an apocalyptic number.

22143132 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 22143132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33633600).

22143132 is an abundant number, since it is smaller than the sum of its proper divisors (45124068).

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

22143132 is a wasteful number, since it uses less digits than its factorization.

22143132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 22143132 is about 4705.6489456822. The cubic root of 22143132 is about 280.8102889064.

Adding to 22143132 its reverse (23134122), we get a palindrome (45277254).

The spelling of 22143132 in words is "twenty-two million, one hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 81 99 108 109 114 132 162 171 198 209 218 228 243 297 324 327 342 396 418 436 486 513 594 627 654 684 836 891 972 981 1026 1188 1199 1254 1308 1539 1782 1881 1962 2052 2071 2398 2508 2673 2943 3078 3564 3597 3762 3924 4142 4617 4796 5346 5643 5886 6156 6213 7194 7524 8284 8829 9234 10692 10791 11286 11772 12426 14388 16929 17658 18468 18639 21582 22572 22781 24852 26487 32373 33858 35316 37278 43164 45562 50787 52974 55917 64746 67716 68343 74556 91124 97119 101574 105948 111834 129492 136686 167751 194238 203148 205029 223668 273372 291357 335502 388476 410058 503253 582714 615087 671004 820116 1006506 1165428 1230174 1845261 2013012 2460348 3690522 5535783 7381044 11071566 22143132