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222440130 = 232511239769
BaseRepresentation
bin11010100001000…
…10101011000010
3120111120010111100
431100202223002
5423421041010
634023355230
75340465333
oct1520425302
9514503440
10222440130
1110461a620
12625b2b16
13371132a3
142178428a
15147dd2c0
hexd422ac2

222440130 has 96 divisors (see below), whose sum is σ = 658419840. Its totient is φ = 51575040.

The previous prime is 222440093. The next prime is 222440147. The reversal of 222440130 is 31044222.

222440130 is a `hidden beast` number, since 222 + 440 + 1 + 3 + 0 = 666.

It is a super-2 number, since 2×2224401302 = 98959222868833800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17886 + ... + 27654.

It is an arithmetic number, because the mean of its divisors is an integer number (6858540).

Almost surely, 2222440130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222440130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329209920).

222440130 is an abundant number, since it is smaller than the sum of its proper divisors (435979710).

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

222440130 is a wasteful number, since it uses less digits than its factorization.

222440130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9816 (or 9813 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 222440130 is about 14914.4269081987. The cubic root of 222440130 is about 605.9047819549.

Adding to 222440130 its reverse (31044222), we get a palindrome (253484352).

The spelling of 222440130 in words is "two hundred twenty-two million, four hundred forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 495 506 690 759 990 1035 1265 1518 2070 2277 2530 3795 4554 7590 9769 11385 19538 22770 29307 48845 58614 87921 97690 107459 146535 175842 214918 224687 293070 322377 439605 449374 537295 644754 674061 879210 967131 1074590 1123435 1348122 1611885 1934262 2022183 2246870 2471557 3223770 3370305 4044366 4835655 4943114 6740610 7414671 9671310 10110915 12357785 14829342 20221830 22244013 24715570 37073355 44488026 74146710 111220065 222440130