Search a number
-
+
332032222230233 = 7211938956757053
BaseRepresentation
bin100101101111110110100011…
…0101010001111011011011001
31121112121222012110022002110212
41023133231012222033123121
5322010003442342331413
63134101255214420505
7126636351665130500
oct11337550652173331
91545558173262425
10332032222230233
11968830904288a8
12312a609b501735
1311336672986445
145bdc633ca3837
15285bdc039cca8
hex12dfb46a8f6d9

332032222230233 has 12 divisors (see below), whose sum is σ = 386244806592420. Its totient is φ = 284596658815392.

The previous prime is 332032222230199. The next prime is 332032222230259.

It is a happy number.

332032222230233 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 55722821011984 + 276309401218249 = 7464772^2 + 16622557^2 .

It is not a de Polignac number, because 332032222230233 - 28 = 332032222229977 is a prime.

It is a super-2 number, since 2×3320322222302332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 332032222230233.

It is not an unprimeable number, because it can be changed into a prime (332032222290233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22528466 + ... + 34228587.

It is an arithmetic number, because the mean of its divisors is an integer number (32187067216035).

Almost surely, 2332032222230233 is an apocalyptic number.

It is an amenable number.

332032222230233 is a deficient number, since it is larger than the sum of its proper divisors (54212584362187).

332032222230233 is a wasteful number, since it uses less digits than its factorization.

332032222230233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56876456 (or 56876449 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 32.

The spelling of 332032222230233 in words is "three hundred thirty-two trillion, thirty-two billion, two hundred twenty-two million, two hundred thirty thousand, two hundred thirty-three".

Divisors: 1 7 49 119389 835723 5850061 56757053 397299371 2781095597 6776167800617 47433174604319 332032222230233