Search a number
-
+
2196480240 = 2434517127157
BaseRepresentation
bin1000001011101011…
…1010000011110000
312200002001202110000
42002322322003300
513444244331430
61001542110000
7105300526323
oct20272720360
95602052400
102196480240
11a27946129
1251371b300
1329009b566
1416ba027ba
15ccc73e60
hex82eba0f0

2196480240 has 400 divisors, whose sum is σ = 8192904192. Its totient is φ = 543449088.

The previous prime is 2196480239. The next prime is 2196480241. The reversal of 2196480240 is 420846912.

2196480240 is a `hidden beast` number, since 2 + 1 + 9 + 648 + 0 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2196480239) and next prime (2196480241).

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

It is a junction number, because it is equal to n+sod(n) for n = 2196480195 and 2196480204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2196480241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13990242 + ... + 13990398.

Almost surely, 22196480240 is an apocalyptic number.

2196480240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2196480240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096452096).

2196480240 is an abundant number, since it is smaller than the sum of its proper divisors (5996423952).

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

2196480240 is a wasteful number, since it uses less digits than its factorization.

2196480240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2196480240 is about 46866.6218112635. The cubic root of 2196480240 is about 1299.8974751493.

The spelling of 2196480240 in words is "two billion, one hundred ninety-six million, four hundred eighty thousand, two hundred forty".