Search a number
-
+
76222220 = 22517377383
BaseRepresentation
bin1001000101100…
…00111100001100
312022102111020012
410202300330030
5124003102340
611321412352
71613610134
oct442607414
9168374205
1076222220
113a030978
122163a0b8
1312a39a09
14a1a1ac4
156a59565
hex48b0f0c

76222220 has 96 divisors (see below), whose sum is σ = 178573248. Its totient is φ = 27205632.

The previous prime is 76222217. The next prime is 76222247. The reversal of 76222220 is 2222267.

76222220 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

76222220 is strictly pandigital in base 9.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 918299 + ... + 918381.

It is an arithmetic number, because the mean of its divisors is an integer number (1860138).

Almost surely, 276222220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89286624).

76222220 is an abundant number, since it is smaller than the sum of its proper divisors (102351028).

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

76222220 is a wasteful number, since it uses less digits than its factorization.

76222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 76222220 is about 8730.5337752053. The cubic root of 76222220 is about 423.9948008737.

Adding to 76222220 its reverse (2222267), we get a palindrome (78444487).

The spelling of 76222220 in words is "seventy-six million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 37 68 73 74 83 85 146 148 166 170 185 292 332 340 365 370 415 629 730 740 830 1241 1258 1411 1460 1660 2482 2516 2701 2822 3071 3145 4964 5402 5644 6059 6142 6205 6290 7055 10804 12118 12284 12410 12580 13505 14110 15355 24236 24820 27010 28220 30295 30710 45917 52207 54020 60590 61420 91834 103003 104414 121180 183668 206006 208828 224183 229585 261035 412012 448366 459170 515015 522070 896732 918340 1030030 1044140 1120915 2060060 2241830 3811111 4483660 7622222 15244444 19055555 38111110 76222220