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22141812 = 22371131773
BaseRepresentation
bin101010001110…
…1101101110100
31112122220212010
41110131231310
521132014222
62110324220
7356126250
oct124355564
945586763
1022141812
1111553520
1274b9670
134783284
142d25260
151e2580c
hex151db74

22141812 has 96 divisors (see below), whose sum is σ = 66576384. Its totient is φ = 5558400.

The previous prime is 22141811. The next prime is 22141813. The reversal of 22141812 is 21814122.

It is an interprime number because it is at equal distance from previous prime (22141811) and next prime (22141813).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22141811) 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, 28258 + ... + 29030.

It is an arithmetic number, because the mean of its divisors is an integer number (693504).

Almost surely, 222141812 is an apocalyptic number.

22141812 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 22141812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33288192).

22141812 is an abundant number, since it is smaller than the sum of its proper divisors (44434572).

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

22141812 is a wasteful number, since it uses less digits than its factorization.

22141812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 827 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 22141812 is about 4705.5086866353. The cubic root of 22141812 is about 280.8047088926.

Adding to 22141812 its reverse (21814122), we get a palindrome (43955934).

The spelling of 22141812 in words is "twenty-two million, one hundred forty-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 124 132 154 186 217 231 308 341 372 434 462 651 682 773 868 924 1023 1302 1364 1546 2046 2319 2387 2604 3092 4092 4638 4774 5411 7161 8503 9276 9548 10822 14322 16233 17006 21644 23963 25509 28644 32466 34012 47926 51018 59521 64932 71889 95852 102036 119042 143778 167741 178563 238084 263593 287556 335482 357126 503223 527186 670964 714252 790779 1006446 1054372 1581558 1845151 2012892 3163116 3690302 5535453 7380604 11070906 22141812