Search a number
-
+
19221930240 = 283522921859
BaseRepresentation
bin10001111001101101…
…110110000100000000
31211121121110020012020
4101321231312010000
5303331303231430
612455212401440
71250223465642
oct217155660400
954547406166
1019221930240
118174307767
123885476280
131a74432926
14d04c28892
157777c6b10
hex479b76100

19221930240 has 144 divisors (see below), whose sum is σ = 61660939200. Its totient is φ = 5103230976.

The previous prime is 19221930197. The next prime is 19221930253. The reversal of 19221930240 is 4203912291.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 868431 + ... + 890289.

Almost surely, 219221930240 is an apocalyptic number.

19221930240 is a gapful number since it is divisible by the number (10) 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 19221930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30830469600).

19221930240 is an abundant number, since it is smaller than the sum of its proper divisors (42439008960).

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

19221930240 is a wasteful number, since it uses less digits than its factorization.

19221930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22112 (or 22098 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 19221930240 in words is "nineteen billion, two hundred twenty-one million, nine hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 229 240 256 320 384 458 480 640 687 768 916 960 1145 1280 1374 1832 1920 2290 2748 3435 3664 3840 4580 5496 6870 7328 9160 10992 13740 14656 18320 21859 21984 27480 29312 36640 43718 43968 54960 58624 65577 73280 87436 87936 109295 109920 131154 146560 174872 175872 218590 219840 262308 293120 327885 349744 437180 439680 524616 655770 699488 874360 879360 1049232 1311540 1398976 1748720 2098464 2623080 2797952 3497440 4196928 5005711 5246160 5595904 6994880 8393856 10011422 10492320 13989760 15017133 16787712 20022844 20984640 25028555 27979520 30034266 40045688 41969280 50057110 60068532 75085665 80091376 83938560 100114220 120137064 150171330 160182752 200228440 240274128 300342660 320365504 400456880 480548256 600685320 640731008 800913760 961096512 1201370640 1281462016 1601827520 1922193024 2402741280 3203655040 3844386048 4805482560 6407310080 9610965120 19221930240