Search a number
-
+
2040022320 = 243571214299
BaseRepresentation
bin111100110011000…
…0100010100110000
312021011122212112020
41321212010110300
513134221203240
6534232431440
7101360621640
oct17146042460
95234585466
102040022320
119575a2a66
1248b248580
1326684b0cb
14154d16520
15be16b0d0
hex79984530

2040022320 has 80 divisors (see below), whose sum is σ = 7227513600. Its totient is φ = 466290432.

The previous prime is 2040022289. The next prime is 2040022333. The reversal of 2040022320 is 232200402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2040022320.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 605470 + ... + 608829.

It is an arithmetic number, because the mean of its divisors is an integer number (90343920).

Almost surely, 22040022320 is an apocalyptic number.

2040022320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040022320 is an abundant number, since it is smaller than the sum of its proper divisors (5187491280).

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

2040022320 is a wasteful number, since it uses less digits than its factorization.

2040022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214322 (or 1214316 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2040022320 is about 45166.6062484221. The cubic root of 2040022320 is about 1268.2697664977.

Adding to 2040022320 its reverse (232200402), we get a palindrome (2272222722).

The spelling of 2040022320 in words is "two billion, forty million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1214299 2428598 3642897 4857196 6071495 7285794 8500093 9714392 12142990 14571588 17000186 18214485 19428784 24285980 25500279 29143176 34000372 36428970 42500465 48571960 51000558 58286352 68000744 72857940 85000930 97143920 102001116 127501395 136001488 145715880 170001860 204002232 255002790 291431760 340003720 408004464 510005580 680007440 1020011160 2040022320