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222450540 = 223513535381
BaseRepresentation
bin11010100001001…
…01001101101100
3120111120122202220
431100211031230
5423421404130
634023515340
75340540564
oct1520451554
9514518686
10222450540
11104627424
12625b8b50
1337117c50
1421787da4
15147e1410
hexd42536c

222450540 has 96 divisors (see below), whose sum is σ = 683557056. Its totient is φ = 53713920.

The previous prime is 222450523. The next prime is 222450583. The reversal of 222450540 is 45054222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 222450540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38650 + ... + 44030.

It is an arithmetic number, because the mean of its divisors is an integer number (7120386).

Almost surely, 2222450540 is an apocalyptic number.

222450540 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 222450540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341778528).

222450540 is an abundant number, since it is smaller than the sum of its proper divisors (461106516).

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

222450540 is a wasteful number, since it uses less digits than its factorization.

222450540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 222450540 is about 14914.7758950646. The cubic root of 222450540 is about 605.9142337422.

The spelling of 222450540 in words is "two hundred twenty-two million, four hundred fifty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 53 60 65 78 106 130 156 159 195 212 260 265 318 390 530 636 689 780 795 1060 1378 1590 2067 2756 3180 3445 4134 5381 6890 8268 10335 10762 13780 16143 20670 21524 26905 32286 41340 53810 64572 69953 80715 107620 139906 161430 209859 279812 285193 322860 349765 419718 570386 699530 839436 855579 1049295 1140772 1399060 1425965 1711158 2098590 2851930 3422316 3707509 4197180 4277895 5703860 7415018 8555790 11122527 14830036 17111580 18537545 22245054 37075090 44490108 55612635 74150180 111225270 222450540