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222538140 = 2232511711583
BaseRepresentation
bin11010100001110…
…10100110011100
3120111202002221100
431100322212130
5423432210030
634025433100
75341354146
oct1520724634
9514662840
10222538140
11104687220
126263b790
1337148a96
14217abc96
151480c360
hexd43a99c

222538140 has 144 divisors (see below), whose sum is σ = 747242496. Its totient is φ = 53155200.

The previous prime is 222538139. The next prime is 222538153. The reversal of 222538140 is 41835222.

222538140 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139789 + ... + 141371.

It is an arithmetic number, because the mean of its divisors is an integer number (5189184).

Almost surely, 2222538140 is an apocalyptic number.

222538140 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 222538140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373621248).

222538140 is an abundant number, since it is smaller than the sum of its proper divisors (524704356).

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

222538140 is a wasteful number, since it uses less digits than its factorization.

222538140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 222538140 is about 14917.7122910988. The cubic root of 222538140 is about 605.9937587175.

The spelling of 222538140 in words is "two hundred twenty-two million, five hundred thirty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 71 90 99 110 132 142 165 180 198 213 220 284 330 355 396 426 495 639 660 710 781 852 990 1065 1278 1420 1562 1583 1980 2130 2343 2556 3124 3166 3195 3905 4260 4686 4749 6332 6390 7029 7810 7915 9372 9498 11715 12780 14058 14247 15620 15830 17413 18996 23430 23745 28116 28494 31660 34826 35145 46860 47490 52239 56988 69652 70290 71235 87065 94980 104478 112393 140580 142470 156717 174130 208956 224786 261195 284940 313434 337179 348260 449572 522390 561965 626868 674358 783585 1011537 1044780 1123930 1236323 1348716 1567170 1685895 2023074 2247860 2472646 3134340 3371790 3708969 4046148 4945292 5057685 6181615 6743580 7417938 10115370 11126907 12363230 14835876 18544845 20230740 22253814 24726460 37089690 44507628 55634535 74179380 111269070 222538140