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2191030200 = 2332524492711
BaseRepresentation
bin1000001010011000…
…0111011110111000
312122200210212101200
42002212013132320
513441400431300
61001225214200
7105203310102
oct20246073670
95580725350
102191030200
11a24863467
12511931360
1328bc10998
1416adc4572
15cc549200
hex829877b8

2191030200 has 144 divisors (see below), whose sum is σ = 7377318000. Its totient is φ = 582758400.

The previous prime is 2191030187. The next prime is 2191030211. The reversal of 2191030200 is 20301912.

It is a happy number.

It is a super-2 number, since 2×21910302002 = 9601226674624080000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 806845 + ... + 809555.

It is an arithmetic number, because the mean of its divisors is an integer number (51231375).

Almost surely, 22191030200 is an apocalyptic number.

2191030200 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 2191030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688659000).

2191030200 is an abundant number, since it is smaller than the sum of its proper divisors (5186287800).

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

2191030200 is a wasteful number, since it uses less digits than its factorization.

2191030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2191030200 is about 46808.4415463707. The cubic root of 2191030200 is about 1298.8214565433.

The spelling of 2191030200 in words is "two billion, one hundred ninety-one million, thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 449 450 600 898 900 1347 1796 1800 2245 2694 2711 3592 4041 4490 5388 5422 6735 8082 8133 8980 10776 10844 11225 13470 13555 16164 16266 17960 20205 21688 22450 24399 26940 27110 32328 32532 33675 40410 40665 44900 48798 53880 54220 65064 67350 67775 80820 81330 89800 97596 101025 108440 121995 134700 135550 161640 162660 195192 202050 203325 243990 269400 271100 325320 404100 406650 487980 542200 609975 808200 813300 975960 1217239 1219950 1626600 2434478 2439900 3651717 4868956 4879800 6086195 7303434 9737912 10955151 12172390 14606868 18258585 21910302 24344780 29213736 30430975 36517170 43820604 48689560 54775755 60861950 73034340 87641208 91292925 109551510 121723900 146068680 182585850 219103020 243447800 273878775 365171700 438206040 547757550 730343400 1095515100 2191030200