Search a number
-
+
835226425800 = 23325213216572
BaseRepresentation
bin11000010011101110101…
…11111101100111001000
32221211212100212120201200
430021313113331213020
5102141020431111200
61435410412544200
7114225455323614
oct14116727754710
92854770776650
10835226425800
112a22435a7898
12115a57782060
13609b907a800
142c5d4972344
1516ad5b9b800
hexc2775fd9c8

835226425800 has 324 divisors, whose sum is σ = 3039167159145. Its totient is φ = 205470120960.

The previous prime is 835226425793. The next prime is 835226425823. The reversal of 835226425800 is 8524622538.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

835226425800 is a `hidden beast` number, since 8 + 3 + 5 + 2 + 2 + 64 + 2 + 580 + 0 = 666.

It can be written as a sum of positive squares in 14 ways, for example, as 361780596324 + 473445829476 = 601482^2 + 688074^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=646230.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 504058572 + ... + 504060228.

Almost surely, 2835226425800 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 835226425800

835226425800 is an abundant number, since it is smaller than the sum of its proper divisors (2203940733345).

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

835226425800 is a wasteful number, since it uses less digits than its factorization.

835226425800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 835226425800 in words is "eight hundred thirty-five billion, two hundred twenty-six million, four hundred twenty-five thousand, eight hundred".