Search a number
-
+
2232553081096 = 23131031991047317
BaseRepresentation
bin100000011111001110100…
…010001000100100001000
321220102121110111101200201
4200133032202020210020
5243034232042043341
64425342024341544
7320203514036032
oct40371642104410
97812543441621
102232553081096
11790903014698
123008256148b4
131326b4b716c0
147a0b00c6c52
153d11928e331
hex207ce888908

2232553081096 has 64 divisors (see below), whose sum is σ = 4574685024000. Its totient is φ = 1015276508928.

The previous prime is 2232553081081. The next prime is 2232553081097. The reversal of 2232553081096 is 6901803552322.

It is a happy number.

It is a super-3 number, since 3×22325530810963 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2232553081097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1608030 + ... + 2655346.

It is an arithmetic number, because the mean of its divisors is an integer number (71479453500).

Almost surely, 22232553081096 is an apocalyptic number.

2232553081096 is a gapful number since it is divisible by the number (26) 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 2232553081096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287342512000).

2232553081096 is an abundant number, since it is smaller than the sum of its proper divisors (2342131942904).

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

2232553081096 is a wasteful number, since it uses less digits than its factorization.

2232553081096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047638 (or 1047634 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 2232553081096 in words is "two trillion, two hundred thirty-two billion, five hundred fifty-three million, eighty-one thousand, ninety-six".

Divisors: 1 2 4 8 13 26 52 103 104 199 206 398 412 796 824 1339 1592 2587 2678 5174 5356 10348 10712 20497 20696 40994 81988 163976 266461 532922 1047317 1065844 2094634 2131688 4189268 8378536 13615121 27230242 54460484 107873651 108920968 208416083 215747302 416832166 431494604 833664332 862989208 1402357463 1667328664 2709409079 2804714926 5418818158 5609429852 10837636316 11218859704 21466856549 21675272632 42933713098 85867426196 171734852392 279069135137 558138270274 1116276540548 2232553081096