Search a number
-
+
2227961787030 = 2325714712404111
BaseRepresentation
bin100000011010111100110…
…111101111001010010110
321212222202111011111021100
4200122330313233022112
5243000331204141110
64423302253130530
7316651653503040
oct40327467571226
97788674144240
102227961787030
11789967389491
122bb963a89a46
131321328b1c55
1479b96414a90
153ce4b16abc0
hex206bcdef296

2227961787030 has 96 divisors (see below), whose sum is σ = 6624732561408. Its totient is φ = 508902004800.

The previous prime is 2227961786987. The next prime is 2227961787047. The reversal of 2227961787030 is 307871697222.

It is a super-3 number, since 3×22279617870303 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275326 + ... + 2128785.

It is an arithmetic number, because the mean of its divisors is an integer number (69007630848).

Almost surely, 22227961787030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2227961787030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312366280704).

2227961787030 is an abundant number, since it is smaller than the sum of its proper divisors (4396770774378).

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

2227961787030 is a wasteful number, since it uses less digits than its factorization.

2227961787030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405602 (or 2405599 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 2227961787030 in words is "two trillion, two hundred twenty-seven billion, nine hundred sixty-one million, seven hundred eighty-seven thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1471 2942 4413 7355 8826 10297 13239 14710 20594 22065 26478 30891 44130 51485 61782 66195 92673 102970 132390 154455 185346 308910 463365 926730 2404111 4808222 7212333 12020555 14424666 16828777 21636999 24041110 33657554 36061665 43273998 50486331 72123330 84143885 100972662 108184995 151458993 168287770 216369990 252431655 302917986 504863310 757294965 1514589930 3536447281 7072894562 10609341843 17682236405 21218683686 24755130967 31828025529 35364472810 49510261934 53046709215 63656051058 74265392901 106093418430 123775654835 148530785802 159140127645 222796178703 247551309670 318280255290 371326964505 445592357406 742653929010 1113980893515 2227961787030