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222412290 = 235193141307
BaseRepresentation
bin11010100000110…
…11111000000010
3120111111201022020
431100123320002
5423414143130
634023022310
75340321222
oct1520337002
9514451266
10222412290
11104600711
126259a996
1337103709
1421778082
15147d4e10
hexd41be02

222412290 has 128 divisors (see below), whose sum is σ = 596090880. Its totient is φ = 52876800.

The previous prime is 222412273. The next prime is 222412301. The reversal of 222412290 is 92214222.

It is a self number, because there is not a number n which added to its sum of digits gives 222412290.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 724317 + ... + 724623.

It is an arithmetic number, because the mean of its divisors is an integer number (4656960).

Almost surely, 2222412290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222412290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298045440).

222412290 is an abundant number, since it is smaller than the sum of its proper divisors (373678590).

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

222412290 is a wasteful number, since it uses less digits than its factorization.

222412290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 222412290 is about 14913.4935544962. The cubic root of 222412290 is about 605.8795031036.

It can be divided in two parts, 22241 and 2290, that added together give a triangular number (24531 = T221).

The spelling of 222412290 in words is "two hundred twenty-two million, four hundred twelve thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 41 57 62 82 93 95 114 123 155 186 190 205 246 285 307 310 410 465 570 589 614 615 779 921 930 1178 1230 1271 1535 1558 1767 1842 2337 2542 2945 3070 3534 3813 3895 4605 4674 5833 5890 6355 7626 7790 8835 9210 9517 11666 11685 12587 12710 17499 17670 19034 19065 23370 24149 25174 28551 29165 34998 37761 38130 47585 48298 57102 58330 62935 72447 75522 87495 95170 120745 125870 142755 144894 174990 180823 188805 239153 241490 285510 361646 362235 377610 390197 478306 542469 717459 724470 780394 904115 1084938 1170591 1195765 1434918 1808230 1950985 2341182 2391530 2712345 3587295 3901970 5424690 5852955 7174590 7413743 11705910 14827486 22241229 37068715 44482458 74137430 111206145 222412290