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9202200221 = 291861170509
BaseRepresentation
bin10001001000111111…
…00110111010011101
3212202022120012120102
420210133212322131
5122321230401341
64121043030445
7444016261034
oct104437467235
925668505512
109202200221
1139a2447255
12194996b425
13b38627bb6
1463420b71b
1538cd1cc9b
hex2247e6e9d

9202200221 has 8 divisors (see below), whose sum is σ = 9524688600. Its totient is φ = 8880056640.

The previous prime is 9202200199. The next prime is 9202200253. The reversal of 9202200221 is 1220022029.

It can be written as a sum of positive squares in 4 ways, for example, as 368832025 + 8833368196 = 19205^2 + 93986^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9202200221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9202200193 and 9202200202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9202208221) 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 7 ways as a sum of consecutive naturals, for example, 31286 + ... + 139223.

It is an arithmetic number, because the mean of its divisors is an integer number (1190586075).

Almost surely, 29202200221 is an apocalyptic number.

It is an amenable number.

9202200221 is a deficient number, since it is larger than the sum of its proper divisors (322488379).

9202200221 is a wasteful number, since it uses less digits than its factorization.

9202200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172399.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 9202200221 is about 95928.0992254094. The cubic root of 9202200221 is about 2095.5461327794.

The spelling of 9202200221 in words is "nine billion, two hundred two million, two hundred thousand, two hundred twenty-one".

Divisors: 1 29 1861 53969 170509 4944761 317317249 9202200221