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220738973 = 7213346529
BaseRepresentation
bin11010010100000…
…11010110011101
3120101100200221112
431022003112131
5423002121343
633523111405
75320151600
oct1512032635
9511320845
10220738973
11103668504
1261b12565
1336968ba0
1421460337
15145a4218
hexd28359d

220738973 has 12 divisors (see below), whose sum is σ = 276530940. Its totient is φ = 174650112.

The previous prime is 220738963. The next prime is 220738993. The reversal of 220738973 is 379837022.

220738973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 72216004 + 148522969 = 8498^2 + 12187^2 .

It is a de Polignac number, because none of the positive numbers 2k-220738973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 220738973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220738963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172628 + ... + 173901.

It is an arithmetic number, because the mean of its divisors is an integer number (23044245).

Almost surely, 2220738973 is an apocalyptic number.

It is an amenable number.

220738973 is a deficient number, since it is larger than the sum of its proper divisors (55791967).

220738973 is a wasteful number, since it uses less digits than its factorization.

220738973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346556 (or 346549 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 220738973 is about 14857.2868653735. The cubic root of 220738973 is about 604.3562334692.

The spelling of 220738973 in words is "two hundred twenty million, seven hundred thirty-eight thousand, nine hundred seventy-three".

Divisors: 1 7 13 49 91 637 346529 2425703 4504877 16979921 31534139 220738973