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2422002240 = 2632571737191
BaseRepresentation
bin1001000001011100…
…1101001001000000
320020210102110110200
42100113031021000
514430013032430
61040155525200
7114006452010
oct22027151100
96223373420
102422002240
111033180149
12577159800
132c7a20528
1418d949c40
15e2970460
hex905cd240

2422002240 has 672 divisors, whose sum is σ = 10407481344. Its totient is φ = 504299520.

The previous prime is 2422002239. The next prime is 2422002259. The reversal of 2422002240 is 422002242.

2422002240 is a `hidden beast` number, since 2 + 422 + 0 + 0 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12680545 + ... + 12680735.

Almost surely, 22422002240 is an apocalyptic number.

2422002240 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 2422002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5203740672).

2422002240 is an abundant number, since it is smaller than the sum of its proper divisors (7985479104).

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

2422002240 is a wasteful number, since it uses less digits than its factorization.

2422002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2422002240 is about 49213.8419552873. The cubic root of 2422002240 is about 1342.9448563715.

Adding to 2422002240 its reverse (422002242), we get a palindrome (2844004482).

It can be divided in two parts, 2422002 and 240, that added together give a palindrome (2422242).

The spelling of 2422002240 in words is "two billion, four hundred twenty-two million, two thousand, two hundred forty".