Search a number
-
+
12622200 = 23352109193
BaseRepresentation
bin110000001001…
…100101111000
3212202021101220
4300021211320
511212402300
61130312040
7212200263
oct60114570
925667356
1012622200
117141278
124288620
1327cc276
141967cda
151194da0
hexc09978

12622200 has 96 divisors (see below), whose sum is σ = 39692400. Its totient is φ = 3317760.

The previous prime is 12622199. The next prime is 12622201. The reversal of 12622200 is 222621.

It is an interprime number because it is at equal distance from previous prime (12622199) and next prime (12622201).

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 12622200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12622201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65304 + ... + 65496.

Almost surely, 212622200 is an apocalyptic number.

12622200 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 12622200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19846200).

12622200 is an abundant number, since it is smaller than the sum of its proper divisors (27070200).

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

12622200 is a wasteful number, since it uses less digits than its factorization.

12622200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12622200 is about 3552.7735644141. The cubic root of 12622200 is about 232.8332600889.

Adding to 12622200 its reverse (222621), we get a palindrome (12844821).

The spelling of 12622200 in words is "twelve million, six hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 109 120 150 193 200 218 300 327 386 436 545 579 600 654 772 872 965 1090 1158 1308 1544 1635 1930 2180 2316 2616 2725 2895 3270 3860 4360 4632 4825 5450 5790 6540 7720 8175 9650 10900 11580 13080 14475 16350 19300 21037 21800 23160 28950 32700 38600 42074 57900 63111 65400 84148 105185 115800 126222 168296 210370 252444 315555 420740 504888 525925 631110 841480 1051850 1262220 1577775 2103700 2524440 3155550 4207400 6311100 12622200