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222146190 = 232572315331
BaseRepresentation
bin11010011110110…
…10111010001110
3120111000012021200
431033122322032
5423332134230
634013210330
75335132350
oct1517327216
9514005250
10222146190
111044397a2
12624909a6
133703c566
14217090d0
1514781160
hexd3dae8e

222146190 has 96 divisors (see below), whose sum is σ = 688836096. Its totient is φ = 48565440.

The previous prime is 222146189. The next prime is 222146203. The reversal of 222146190 is 91641222.

222146190 is a `hidden beast` number, since 22 + 21 + 4 + 619 + 0 = 666.

It is a super-2 number, since 2×2221461902 = 98697859463032200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6825 + ... + 22155.

It is an arithmetic number, because the mean of its divisors is an integer number (7175376).

Almost surely, 2222146190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222146190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344418048).

222146190 is an abundant number, since it is smaller than the sum of its proper divisors (466689906).

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

222146190 is a wasteful number, since it uses less digits than its factorization.

222146190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15374 (or 15371 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 222146190 is about 14904.5694335663. The cubic root of 222146190 is about 605.6377765391.

The spelling of 222146190 in words is "two hundred twenty-two million, one hundred forty-six thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 63 69 70 90 105 115 126 138 161 207 210 230 315 322 345 414 483 630 690 805 966 1035 1449 1610 2070 2415 2898 4830 7245 14490 15331 30662 45993 76655 91986 107317 137979 153310 214634 229965 275958 321951 352613 459930 536585 643902 689895 705226 965853 1057839 1073170 1379790 1609755 1763065 1931706 2115678 2468291 3173517 3219510 3526130 4829265 4936582 5289195 6347034 7404873 9658530 10578390 12341455 14809746 15867585 22214619 24682910 31735170 37024365 44429238 74048730 111073095 222146190