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22020440 = 23513174753
BaseRepresentation
bin101010000000…
…0000101011000
31112102202100212
41110000011120
521114123230
62103550252
7355112351
oct124000530
945382325
1022020440
1111480312
12745b388
13473cc60
142cd2d28
151dee895
hex1500158

22020440 has 128 divisors (see below), whose sum is σ = 58786560. Its totient is φ = 7348224.

The previous prime is 22020431. The next prime is 22020443. The reversal of 22020440 is 4402022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22020443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415454 + ... + 415506.

It is an arithmetic number, because the mean of its divisors is an integer number (459270).

Almost surely, 222020440 is an apocalyptic number.

22020440 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 22020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29393280).

22020440 is an abundant number, since it is smaller than the sum of its proper divisors (36766120).

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

22020440 is a wasteful number, since it uses less digits than its factorization.

22020440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 22020440 is about 4692.5941652779. The cubic root of 22020440 is about 280.2906845134.

Adding to 22020440 its reverse (4402022), we get a palindrome (26422462).

The spelling of 22020440 in words is "twenty-two million, twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 47 52 53 65 68 85 94 104 106 130 136 170 188 212 221 235 260 265 340 376 424 442 470 520 530 611 680 689 799 884 901 940 1060 1105 1222 1378 1598 1768 1802 1880 2120 2210 2444 2491 2756 3055 3196 3445 3604 3995 4420 4505 4888 4982 5512 6110 6392 6890 7208 7990 8840 9010 9964 10387 11713 12220 12455 13780 15980 18020 19928 20774 23426 24440 24910 27560 31960 32383 36040 41548 42347 46852 49820 51935 58565 64766 83096 84694 93704 99640 103870 117130 129532 161915 169388 207740 211735 234260 259064 323830 338776 415480 423470 468520 550511 647660 846940 1101022 1295320 1693880 2202044 2752555 4404088 5505110 11010220 22020440