Search a number
-
+
130222320 = 24352331761
BaseRepresentation
bin1111100001100…
…00100011110000
3100002000222102220
413300300203300
5231314103240
620531041040
73140604624
oct760604360
9302028386
10130222320
1167563a58
1237740180
1320c95a37
141341b184
15b6745d0
hex7c308f0

130222320 has 160 divisors (see below), whose sum is σ = 435400704. Its totient is φ = 32102400.

The previous prime is 130222271. The next prime is 130222327. The reversal of 130222320 is 23222031.

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 130222320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130222327) 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, 170740 + ... + 171500.

Almost surely, 2130222320 is an apocalyptic number.

130222320 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 130222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217700352).

130222320 is an abundant number, since it is smaller than the sum of its proper divisors (305178384).

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

130222320 is a wasteful number, since it uses less digits than its factorization.

130222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 130222320 is about 11411.4994632607. The cubic root of 130222320 is about 506.8683138575.

Adding to 130222320 its reverse (23222031), we get a palindrome (153444351).

The spelling of 130222320 in words is "one hundred thirty million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 31 40 46 48 60 62 69 80 92 93 115 120 124 138 155 184 186 230 240 248 276 310 345 368 372 460 465 496 552 620 690 713 744 761 920 930 1104 1240 1380 1426 1488 1522 1840 1860 2139 2283 2480 2760 2852 3044 3565 3720 3805 4278 4566 5520 5704 6088 7130 7440 7610 8556 9132 10695 11408 11415 12176 14260 15220 17112 17503 18264 21390 22830 23591 28520 30440 34224 35006 36528 42780 45660 47182 52509 57040 60880 70012 70773 85560 87515 91320 94364 105018 117955 140024 141546 171120 175030 182640 188728 210036 235910 262545 280048 283092 350060 353865 377456 420072 471820 525090 542593 566184 700120 707730 840144 943640 1050180 1085186 1132368 1400240 1415460 1627779 1887280 2100360 2170372 2712965 2830920 3255558 4200720 4340744 5425930 5661840 6511116 8138895 8681488 10851860 13022232 16277790 21703720 26044464 32555580 43407440 65111160 130222320