[go: up one dir, main page]

Search a number
-
+
97226280 = 23325270073
BaseRepresentation
bin1011100101110…
…00111000101000
320202221121101100
411302320320220
5144342220110
613351521400
72260260354
oct562707050
9222847340
1097226280
114a9775a8
1228689260
13171b2158
14ccac464
158807bc0
hex5cb8e28

97226280 has 48 divisors (see below), whose sum is σ = 315986580. Its totient is φ = 25926912.

The previous prime is 97226257. The next prime is 97226309. The reversal of 97226280 is 8262279.

97226280 is a `hidden beast` number, since 9 + 7 + 22 + 628 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95531076 + 1695204 = 9774^2 + 1302^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134677 + ... + 135396.

Almost surely, 297226280 is an apocalyptic number.

97226280 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97226280 is an abundant number, since it is smaller than the sum of its proper divisors (218760300).

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

97226280 is a wasteful number, since it uses less digits than its factorization.

97226280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270090 (or 270083 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 97226280 is about 9860.3387365749. The cubic root of 97226280 is about 459.8270931752.

The spelling of 97226280 in words is "ninety-seven million, two hundred twenty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 270073 540146 810219 1080292 1350365 1620438 2160584 2430657 2700730 3240876 4051095 4861314 5401460 6481752 8102190 9722628 10802920 12153285 16204380 19445256 24306570 32408760 48613140 97226280