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22002240 = 2635134143
BaseRepresentation
bin101001111101…
…1101001000000
31112101211101210
41103323221000
521113032430
62103330120
7355005321
oct123735100
945354353
1022002240
1111468677
127450940
1347348a0
142cca448
151de92b0
hex14fba40

22002240 has 224 divisors, whose sum is σ = 78857856. Its totient is φ = 5160960.

The previous prime is 22002217. The next prime is 22002257. The reversal of 22002240 is 4220022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511659 + ... + 511701.

It is an arithmetic number, because the mean of its divisors is an integer number (352044).

Almost surely, 222002240 is an apocalyptic number.

22002240 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 22002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39428928).

22002240 is an abundant number, since it is smaller than the sum of its proper divisors (56855616).

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

22002240 is a wasteful number, since it uses less digits than its factorization.

22002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 22002240 is about 4690.6545385479. The cubic root of 22002240 is about 280.2134426945.

Adding to 22002240 its reverse (4220022), we get a palindrome (26222262).

The spelling of 22002240 in words is "twenty-two million, two thousand, two hundred forty".