Search a number
-
+
2200022112272 = 241979157583481
BaseRepresentation
bin100000000000111011100…
…010010101100000010000
321210022122022201221210112
4200000323202111200100
5242021121130043042
64402402021020452
7314642412256235
oct40007342254020
97708568657715
102200022112272
1177902a145296
122b6466b54728
1312c5cc32621a
14786a588978c
153c36336d982
hex2003b895810

2200022112272 has 80 divisors (see below), whose sum is σ = 4572631737600. Its totient is φ = 1022368988160.

The previous prime is 2200022112271. The next prime is 2200022112289. The reversal of 2200022112272 is 2722112200022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2200022112271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3478772 + ... + 4062252.

It is an arithmetic number, because the mean of its divisors is an integer number (57157896720).

Almost surely, 22200022112272 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 2200022112272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286315868800).

2200022112272 is an abundant number, since it is smaller than the sum of its proper divisors (2372609625328).

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

2200022112272 is a wasteful number, since it uses less digits than its factorization.

2200022112272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583744 (or 583738 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

Adding to 2200022112272 its reverse (2722112200022), we get a palindrome (4922134312294).

The spelling of 2200022112272 in words is "two trillion, two hundred billion, twenty-two million, one hundred twelve thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 38 76 79 152 157 158 304 314 316 628 632 1256 1264 1501 2512 2983 3002 5966 6004 11932 12008 12403 23864 24016 24806 47728 49612 99224 198448 235657 471314 583481 942628 1166962 1885256 2333924 3770512 4667848 9335696 11086139 22172278 44344556 46094999 88689112 91606517 92189998 177378224 183213034 184379996 366426068 368759992 732852136 737519984 875804981 1465704272 1740523823 1751609962 3481047646 3503219924 6962095292 7006439848 7236914843 13924190584 14012879696 14473829686 27848381168 28947659372 57895318744 115790637488 137501382017 275002764034 550005528068 1100011056136 2200022112272