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2202424240 = 245113243631
BaseRepresentation
bin1000001101000110…
…0101001110110000
312200111020202002011
42003101211032300
514002310033430
61002313332304
7105402203632
oct20321451660
95614222064
102202424240
11a30235a25
12515707094
1329139cc13
1416c70ca52
15cd54a22a
hex834653b0

2202424240 has 40 divisors (see below), whose sum is σ = 5165972928. Its totient is φ = 873169920.

The previous prime is 2202424229. The next prime is 2202424249. The reversal of 2202424240 is 424242022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2202424249) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 112776 + ... + 130855.

Almost surely, 22202424240 is an apocalyptic number.

2202424240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202424240 is an abundant number, since it is smaller than the sum of its proper divisors (2963548688).

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

2202424240 is a wasteful number, since it uses less digits than its factorization.

2202424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243757 (or 243751 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 2202424240 is about 46929.9929682501. The cubic root of 2202424240 is about 1301.0689905502.

Adding to 2202424240 its reverse (424242022), we get a palindrome (2626666262).

It can be divided in two parts, 22024 and 24240, that added together give a palindrome (46264).

The spelling of 2202424240 in words is "two billion, two hundred two million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 243631 487262 974524 1218155 1949048 2436310 3898096 4872620 9745240 19490480 27530303 55060606 110121212 137651515 220242424 275303030 440484848 550606060 1101212120 2202424240