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2193151890 = 2352316971873
BaseRepresentation
bin1000001010111000…
…1101011110010010
312122211210122210210
42002232031132102
513442421330030
61001342504550
7105230324556
oct20256153622
95584718723
102193151890
11a25a82526
12512595156
1328c4a4617
1416b3b7866
15cc817bb0
hex82b8d792

2193151890 has 64 divisors (see below), whose sum is σ = 5498585856. Its totient is φ = 558784512.

The previous prime is 2193151871. The next prime is 2193151897. The reversal of 2193151890 is 981513912.

It is a super-2 number, since 2×21931518902 = 9619830425221144200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2193151897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1169994 + ... + 1171866.

It is an arithmetic number, because the mean of its divisors is an integer number (85915404).

Almost surely, 22193151890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2193151890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749292928).

2193151890 is an abundant number, since it is smaller than the sum of its proper divisors (3305433966).

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

2193151890 is a wasteful number, since it uses less digits than its factorization.

2193151890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603.

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 2193151890 is about 46831.0996027213. The cubic root of 2193151890 is about 1299.2405603784.

The spelling of 2193151890 in words is "two billion, one hundred ninety-three million, one hundred fifty-one thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 1697 1873 3394 3746 5091 5619 8485 9365 10182 11238 16970 18730 25455 28095 39031 43079 50910 56190 78062 86158 117093 129237 195155 215395 234186 258474 390310 430790 585465 646185 1170930 1292370 3178481 6356962 9535443 15892405 19070886 31784810 47677215 73105063 95354430 146210126 219315189 365525315 438630378 731050630 1096575945 2193151890