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22034040 = 23357171543
BaseRepresentation
bin101010000001…
…1011001111000
31112110110000120
41110003121320
521120042130
62104133240
7355200120
oct124033170
945413016
1022034040
111148a556
127467220
1347461c2
142cd7c80
151e03910
hex1503678

22034040 has 128 divisors (see below), whose sum is σ = 80040960. Its totient is φ = 4737024.

The previous prime is 22034029. The next prime is 22034041. The reversal of 22034040 is 4043022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22034041) 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 31 ways as a sum of consecutive naturals, for example, 13509 + ... + 15051.

It is an arithmetic number, because the mean of its divisors is an integer number (625320).

Almost surely, 222034040 is an apocalyptic number.

22034040 is a gapful number since it is divisible by the number (20) 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 22034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40020480).

22034040 is an abundant number, since it is smaller than the sum of its proper divisors (58006920).

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

22034040 is a wasteful number, since it uses less digits than its factorization.

22034040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 22034040 is about 4694.0430334627. The cubic root of 22034040 is about 280.3483758949.

Adding to 22034040 its reverse (4043022), we get a palindrome (26077062).

The spelling of 22034040 in words is "twenty-two million, thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1543 1785 2040 2380 2856 3086 3570 4629 4760 6172 7140 7715 9258 10801 12344 14280 15430 18516 21602 23145 26231 30860 32403 37032 43204 46290 52462 54005 61720 64806 78693 86408 92580 104924 108010 129612 131155 157386 162015 183617 185160 209848 216020 259224 262310 314772 324030 367234 393465 432040 524620 550851 629544 648060 734468 786930 918085 1049240 1101702 1296120 1468936 1573860 1836170 2203404 2754255 3147720 3672340 4406808 5508510 7344680 11017020 22034040