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202132322233 = 2973541176489
BaseRepresentation
bin1011110001000000000…
…1100111011110111001
3201022201221121212200221
42330100001213132321
511302431333302413
6232505221100041
720414012250622
oct2742001473671
9638657555627
10202132322233
11787a6476486
1233211857621
13160a4015cca
149ad7382a49
1553d077368d
hex2f100677b9

202132322233 has 16 divisors (see below), whose sum is σ = 212359827600. Its totient is φ = 192131896320.

The previous prime is 202132322207. The next prime is 202132322239. The reversal of 202132322233 is 332223231202.

202132322233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3441934224 + 198690388009 = 58668^2 + 445747^2 .

It is a cyclic number.

It is not a de Polignac number, because 202132322233 - 217 = 202132191161 is a prime.

It is a super-2 number, since 2×2021323222332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202132322198 and 202132322207.

It is not an unprimeable number, because it can be changed into a prime (202132322239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1057053 + ... + 1233541.

It is an arithmetic number, because the mean of its divisors is an integer number (13272489225).

Almost surely, 2202132322233 is an apocalyptic number.

It is an amenable number.

202132322233 is a deficient number, since it is larger than the sum of its proper divisors (10227505367).

202132322233 is a wasteful number, since it uses less digits than its factorization.

202132322233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177132.

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 202132322233 its reverse (332223231202), we get a palindrome (534355553435).

The spelling of 202132322233 in words is "two hundred two billion, one hundred thirty-two million, three hundred twenty-two thousand, two hundred thirty-three".

Divisors: 1 29 73 541 2117 15689 39493 176489 1145297 5118181 12883697 95480549 373627213 2768935921 6970080077 202132322233