Search a number
-
+
7220248280 = 235725786601
BaseRepresentation
bin1101011100101110…
…00011111011011000
3200122012011121121222
412232113003323120
5104241340421110
63152242551212
7343632045350
oct65627037330
920565147558
107220248280
113075707443
121496068508
138b0b2c67b
144c6ccdb60
152c3d22c55
hex1ae5c3ed8

7220248280 has 32 divisors (see below), whose sum is σ = 18566353440. Its totient is φ = 2475513600.

The previous prime is 7220248261. The next prime is 7220248289. The reversal of 7220248280 is 828420227.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 7220248280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7220248289) 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, 12893021 + ... + 12893580.

It is an arithmetic number, because the mean of its divisors is an integer number (580198545).

Almost surely, 27220248280 is an apocalyptic number.

7220248280 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7220248280 is an abundant number, since it is smaller than the sum of its proper divisors (11346105160).

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

7220248280 is a wasteful number, since it uses less digits than its factorization.

7220248280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25786619 (or 25786615 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 7220248280 is about 84972.0441086361. The cubic root of 7220248280 is about 1932.7872138294.

The spelling of 7220248280 in words is "seven billion, two hundred twenty million, two hundred forty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 25786601 51573202 103146404 128933005 180506207 206292808 257866010 361012414 515732020 722024828 902531035 1031464040 1444049656 1805062070 3610124140 7220248280