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20227980 = 2235536361
BaseRepresentation
bin100110100101…
…0011110001100
31102001200120110
41031022132030
520134243410
62001320020
7333635463
oct115123614
942050513
1020227980
1110466643
126936010
134263126
1429879da
151b98720
hex134a78c

20227980 has 48 divisors (see below), whose sum is σ = 57716064. Its totient is φ = 5291520.

The previous prime is 20227969. The next prime is 20227997. The reversal of 20227980 is 8972202.

20227980 is a nontrivial binomial coefficient, being equal to C(6361, 2).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 6360.

It is an arithmetic number, because the mean of its divisors is an integer number (1202418).

Almost surely, 220227980 is an apocalyptic number.

20227980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20227980 is the 6360-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20227980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28858032).

20227980 is an abundant number, since it is smaller than the sum of its proper divisors (37488084).

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

20227980 is a wasteful number, since it uses less digits than its factorization.

20227980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6426 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 20227980 is about 4497.5526678406. The cubic root of 20227980 is about 272.4692555725.

It can be divided in two parts, 202 and 27980, that added together give a palindrome (28182).

The spelling of 20227980 in words is "twenty million, two hundred twenty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 6361 12722 19083 25444 31805 38166 63610 76332 95415 127220 190830 337133 381660 674266 1011399 1348532 1685665 2022798 3371330 4045596 5056995 6742660 10113990 20227980