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22002420 = 223511173753
BaseRepresentation
bin101001111101…
…1101011110100
31112101211122110
41103323223310
521113034140
62103331020
7355005666
oct123735364
945354573
1022002420
1111468820
127450a70
1347349ab
142cca536
151de9380
hex14fbaf4

22002420 has 192 divisors, whose sum is σ = 74462976. Its totient is φ = 4792320.

The previous prime is 22002391. The next prime is 22002433. The reversal of 22002420 is 2420022.

22002420 = T86 + T87 + ... + T509.

It is a happy number.

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

22002420 is a modest number, since divided by 2420 gives 2200 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 22002396 and 22002405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 415114 + ... + 415166.

It is an arithmetic number, because the mean of its divisors is an integer number (387828).

Almost surely, 222002420 is an apocalyptic number.

22002420 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 22002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37231488).

22002420 is an abundant number, since it is smaller than the sum of its proper divisors (52460556).

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

22002420 is a wasteful number, since it uses less digits than its factorization.

22002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 128 counting only the distinct ones).

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

The square root of 22002420 is about 4690.6737255964. The cubic root of 22002420 is about 280.2142068331.

Adding to 22002420 its reverse (2420022), we get a palindrome (24422442).

It can be divided in two parts, 22002 and 420, that added together give a palindrome (22422).

The spelling of 22002420 in words is "twenty-two million, two thousand, four hundred twenty".