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20213340 = 223571719149
BaseRepresentation
bin100110100011…
…0111001011100
31102000221111020
41031012321130
520133311330
62001124140
7333545010
oct115067134
942027436
1020213340
1110456644
126929650
134259574
142982540
151b94210
hex1346e5c

20213340 has 192 divisors, whose sum is σ = 72576000. Its totient is φ = 4091904.

The previous prime is 20213317. The next prime is 20213351. The reversal of 20213340 is 4331202.

20213340 = T19 + T20 + ... + T494.

It is a super-2 number, since 2×202133402 = 817158227911200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 135586 + ... + 135734.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 220213340 is an apocalyptic number.

20213340 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 20213340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288000).

20213340 is an abundant number, since it is smaller than the sum of its proper divisors (52362660).

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

20213340 is a wasteful number, since it uses less digits than its factorization.

20213340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 20213340 is about 4495.9248214355. The cubic root of 20213340 is about 272.4035065024.

Adding to 20213340 its reverse (4331202), we get a palindrome (24544542).

The spelling of 20213340 in words is "twenty million, two hundred thirteen thousand, three hundred forty".