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2192942640 = 243573735279
BaseRepresentation
bin1000001010110101…
…1010011000110000
312122211102000202210
42002231122120300
513442343131030
61001334212120
7105225463530
oct20255323060
95584360683
102192942640
11a2594a299
125124b4040
1328c4302c5
1416b3614c0
15cc7c5bb0
hex82b5a630

2192942640 has 160 divisors (see below), whose sum is σ = 7979489280. Its totient is φ = 487683072.

The previous prime is 2192942617. The next prime is 2192942641. The reversal of 2192942640 is 462492912.

It is not an unprimeable number, because it can be changed into a prime (2192942641) 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 31 ways as a sum of consecutive naturals, for example, 44521 + ... + 79799.

It is an arithmetic number, because the mean of its divisors is an integer number (49871808).

Almost surely, 22192942640 is an apocalyptic number.

2192942640 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 2192942640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989744640).

2192942640 is an abundant number, since it is smaller than the sum of its proper divisors (5786546640).

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

2192942640 is a wasteful number, since it uses less digits than its factorization.

2192942640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35339 (or 35333 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2192942640 is about 46828.8654571088. The cubic root of 2192942640 is about 1299.1992386115.

The spelling of 2192942640 in words is "two billion, one hundred ninety-two million, nine hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 37 40 42 48 56 60 70 74 80 84 105 111 112 120 140 148 168 185 210 222 240 259 280 296 336 370 420 444 518 555 560 592 740 777 840 888 1036 1110 1295 1480 1554 1680 1776 2072 2220 2590 2960 3108 3885 4144 4440 5180 6216 7770 8880 10360 12432 15540 20720 31080 35279 62160 70558 105837 141116 176395 211674 246953 282232 352790 423348 493906 529185 564464 705580 740859 846696 987812 1058370 1234765 1305323 1411160 1481718 1693392 1975624 2116740 2469530 2610646 2822320 2963436 3704295 3915969 3951248 4233480 4939060 5221292 5926872 6526615 7408590 7831938 8466960 9137261 9878120 10442584 11853744 13053230 14817180 15663876 18274522 19579845 19756240 20885168 26106460 27411783 29634360 31327752 36549044 39159690 45686305 52212920 54823566 59268720 62655504 73098088 78319380 91372610 104425840 109647132 137058915 146196176 156638760 182745220 219294264 274117830 313277520 365490440 438588528 548235660 730980880 1096471320 2192942640