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200226145392 = 243271346732719
BaseRepresentation
bin1011101001111001101…
…0001000010001110000
3201010211002211001122200
42322132122020101300
511240030343123032
6231552125103200
720315535104010
oct2723632102160
9633732731580
10200226145392
1177a08491619
123297b3b7b00
1315b5c12bb10
14999614bc40
15531d24547c
hex2e9e688470

200226145392 has 240 divisors, whose sum is σ = 691165762560. Its totient is φ = 52692208128.

The previous prime is 200226145349. The next prime is 200226145393. The reversal of 200226145392 is 293541622002.

200226145392 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 2 + 614 + 5 + 39 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200226145393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6103209 + ... + 6135927.

It is an arithmetic number, because the mean of its divisors is an integer number (2879857344).

Almost surely, 2200226145392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200226145392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345582881280).

200226145392 is an abundant number, since it is smaller than the sum of its proper divisors (490939617168).

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

200226145392 is a wasteful number, since it uses less digits than its factorization.

200226145392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33220 (or 33211 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 200226145392 its reverse (293541622002), we get a palindrome (493767767394).

The spelling of 200226145392 in words is "two hundred billion, two hundred twenty-six million, one hundred forty-five thousand, three hundred ninety-two".