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219469140 = 2232511199557
BaseRepresentation
bin11010001010011…
…01010101010100
3120021222012001200
431011031111110
5422141003030
633435552500
75303312502
oct1505152524
9507865050
10219469140
11102980460
12615bb730
1336612bc7
142120d672
1514402d60
hexd14d554

219469140 has 144 divisors (see below), whose sum is σ = 731203200. Its totient is φ = 52842240.

The previous prime is 219469139. The next prime is 219469141. The reversal of 219469140 is 41964912.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (219469139) and next prime (219469141).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 219469095 and 219469104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219469141) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 393742 + ... + 394298.

It is an arithmetic number, because the mean of its divisors is an integer number (5077800).

Almost surely, 2219469140 is an apocalyptic number.

219469140 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 219469140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365601600).

219469140 is an abundant number, since it is smaller than the sum of its proper divisors (511734060).

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

219469140 is a wasteful number, since it uses less digits than its factorization.

219469140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 219469140 is about 14814.4908788659. The cubic root of 219469140 is about 603.1951217924.

The spelling of 219469140 in words is "two hundred nineteen million, four hundred sixty-nine 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 90 99 110 132 165 180 198 199 220 330 396 398 495 557 597 660 796 990 995 1114 1194 1671 1791 1980 1990 2189 2228 2388 2785 2985 3342 3582 3980 4378 5013 5570 5970 6127 6567 6684 7164 8355 8756 8955 10026 10945 11140 11940 12254 13134 16710 17910 18381 19701 20052 21890 24508 25065 26268 30635 32835 33420 35820 36762 39402 43780 50130 55143 61270 65670 73524 78804 91905 98505 100260 110286 110843 122540 131340 183810 197010 220572 221686 275715 332529 367620 394020 443372 551430 554215 665058 997587 1102860 1108430 1219273 1330116 1662645 1995174 2216860 2438546 3325290 3657819 3990348 4877092 4987935 6096365 6650580 7315638 9975870 10973457 12192730 14631276 18289095 19951740 21946914 24385460 36578190 43893828 54867285 73156380 109734570 219469140