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22141704 = 23313253103
BaseRepresentation
bin101010001110…
…1101100001000
31112122220201010
41110131230020
521132013304
62110323520
7356126034
oct124355410
945586633
1022141704
1111553432
1274b95a0
134783200
142d251c4
151e25789
hex151db08

22141704 has 96 divisors (see below), whose sum is σ = 61663680. Its totient is φ = 6619392.

The previous prime is 22141699. The next prime is 22141711. The reversal of 22141704 is 40714122.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 214917 + ... + 215019.

It is an arithmetic number, because the mean of its divisors is an integer number (642330).

Almost surely, 222141704 is an apocalyptic number.

22141704 is a gapful number since it is divisible by the number (24) 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 22141704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30831840).

22141704 is an abundant number, since it is smaller than the sum of its proper divisors (39521976).

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

22141704 is a wasteful number, since it uses less digits than its factorization.

22141704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 22141704 is about 4705.4972107100. The cubic root of 22141704 is about 280.8042523362.

Adding to 22141704 its reverse (40714122), we get a palindrome (62855826).

The spelling of 22141704 in words is "twenty-two million, one hundred forty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 103 104 106 156 159 169 206 212 309 312 318 338 412 424 507 618 636 676 689 824 1014 1236 1272 1339 1352 1378 2028 2067 2472 2678 2756 4017 4056 4134 5356 5459 5512 8034 8268 8957 10712 10918 16068 16377 16536 17407 17914 21836 26871 32136 32754 34814 35828 43672 52221 53742 65508 69628 70967 71656 104442 107484 131016 139256 141934 208884 212901 214968 283868 417768 425802 567736 851604 922571 1703208 1845142 2767713 3690284 5535426 7380568 11070852 22141704