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22000440 = 23357112381
BaseRepresentation
bin101001111101…
…1001100111000
31112101201221010
41103323030320
521113003230
62103313520
7355000140
oct123731470
945351833
1022000440
1111467290
12744b8a0
134733b17
142cc9920
151de89b0
hex14fb338

22000440 has 128 divisors (see below), whose sum is σ = 82321920. Its totient is φ = 4569600.

The previous prime is 22000427. The next prime is 22000441. The reversal of 22000440 is 4400022.

It is a super-3 number, since 3×220004403 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000441) 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, 8050 + ... + 10430.

It is an arithmetic number, because the mean of its divisors is an integer number (643140).

Almost surely, 222000440 is an apocalyptic number.

22000440 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 22000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41160960).

22000440 is an abundant number, since it is smaller than the sum of its proper divisors (60321480).

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

22000440 is a wasteful number, since it uses less digits than its factorization.

22000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 22000440 is about 4690.4626637465. The cubic root of 22000440 is about 280.2058010793.

Adding to 22000440 its reverse (4400022), we get a palindrome (26400462).

The spelling of 22000440 in words is "twenty-two million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 2381 3080 4620 4762 7143 9240 9524 11905 14286 16667 19048 23810 26191 28572 33334 35715 47620 50001 52382 57144 66668 71430 78573 83335 95240 100002 104764 130955 133336 142860 157146 166670 183337 200004 209528 250005 261910 285720 314292 333340 366674 392865 400008 500010 523820 550011 628584 666680 733348 785730 916685 1000020 1047640 1100022 1466696 1571460 1833370 2000040 2200044 2750055 3142920 3666740 4400088 5500110 7333480 11000220 22000440