Search a number
-
+
322422240 = 2535795959
BaseRepresentation
bin10011001101111…
…100010111100000
3211110200202011110
4103031330113200
51130020002430
651554343320
710663354350
oct2315742740
9743622143
10322422240
11155aa9668
128bb8ab40
1351a4b8ba
1430b6cb60
151d48c7b0
hex1337c5e0

322422240 has 96 divisors (see below), whose sum is σ = 1160732160. Its totient is φ = 73695744.

The previous prime is 322422223. The next prime is 322422241. The reversal of 322422240 is 42224223.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3224222402 = 207912201693235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322422241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44620 + ... + 51339.

It is an arithmetic number, because the mean of its divisors is an integer number (12090960).

Almost surely, 2322422240 is an apocalyptic number.

322422240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

322422240 is an abundant number, since it is smaller than the sum of its proper divisors (838309920).

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

322422240 is a wasteful number, since it uses less digits than its factorization.

322422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95984 (or 95976 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 322422240 is about 17956.1198481186. The cubic root of 322422240 is about 685.7118640787.

Adding to 322422240 its reverse (42224223), we get a palindrome (364646463).

The spelling of 322422240 in words is "three hundred twenty-two million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 95959 191918 287877 383836 479795 575754 671713 767672 959590 1151508 1343426 1439385 1535344 1919180 2015139 2303016 2686852 2878770 3070688 3358565 3838360 4030278 4606032 5373704 5757540 6717130 7676720 8060556 9212064 10075695 10747408 11515080 13434260 15353440 16121112 20151390 21494816 23030160 26868520 32242224 40302780 46060320 53737040 64484448 80605560 107474080 161211120 322422240