Search a number
-
+
2200418490 = 2353753113331
BaseRepresentation
bin1000001100100111…
…1011100010111010
312200100110211201010
42003021323202322
514001301342430
61002202334350
7105346151154
oct20311734272
95610424633
102200418490
11a2a095a86
12514aba3b6
13290b49c9a
1416c349ad4
15cd2a0cb0
hex8327b8ba

2200418490 has 128 divisors (see below), whose sum is σ = 5591814912. Its totient is φ = 553512960.

The previous prime is 2200418461. The next prime is 2200418501. The reversal of 2200418490 is 948140022.

2200418490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22004184902 = 9683683062267760200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6647625 + ... + 6647955.

It is an arithmetic number, because the mean of its divisors is an integer number (43686054).

Almost surely, 22200418490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200418490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795907456).

2200418490 is an abundant number, since it is smaller than the sum of its proper divisors (3391396422).

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

2200418490 is a wasteful number, since it uses less digits than its factorization.

2200418490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2200418490 is about 46908.6185044923. The cubic root of 2200418490 is about 1300.6739089736.

The spelling of 2200418490 in words is "two billion, two hundred million, four hundred eighteen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 37 53 74 106 111 113 159 185 222 226 265 318 331 339 370 530 555 565 662 678 795 993 1110 1130 1590 1655 1695 1961 1986 3310 3390 3922 4181 4965 5883 5989 8362 9805 9930 11766 11978 12247 12543 17543 17967 19610 20905 24494 25086 29415 29945 35086 35934 36741 37403 41810 52629 58830 59890 61235 62715 73482 74806 87715 89835 105258 112209 122470 125430 175430 179670 183705 187015 221593 224418 263145 367410 374030 443186 526290 561045 649091 664779 1107965 1122090 1298182 1329558 1383911 1947273 1982359 2215930 2767822 3245455 3323895 3894546 3964718 4151733 5947077 6490910 6647790 6919555 8303466 9736365 9911795 11894154 13839110 19472730 19823590 20758665 29735385 41517330 59470770 73347283 146694566 220041849 366736415 440083698 733472830 1100209245 2200418490