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210280664 = 23114361911
BaseRepresentation
bin11001000100010…
…10000011011000
3112122200100211202
430202022003120
5412312440124
632511013332
75132233106
oct1442120330
9478610752
10210280664
11a8774a80
125a50a248
1334746839
141dcdac76
15136da5ae
hexc88a0d8

210280664 has 64 divisors (see below), whose sum is σ = 447828480. Its totient is φ = 91728000.

The previous prime is 210280663. The next prime is 210280669. The reversal of 210280664 is 466082012.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210280663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230369 + ... + 231279.

It is an arithmetic number, because the mean of its divisors is an integer number (6997320).

Almost surely, 2210280664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210280664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223914240).

210280664 is an abundant number, since it is smaller than the sum of its proper divisors (237547816).

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

210280664 is a wasteful number, since it uses less digits than its factorization.

210280664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 210280664 is about 14501.0573407597. The cubic root of 210280664 is about 594.6568781750.

The spelling of 210280664 in words is "two hundred ten million, two hundred eighty thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 43 44 61 86 88 122 172 244 344 473 488 671 911 946 1342 1822 1892 2623 2684 3644 3784 5246 5368 7288 10021 10492 20042 20984 28853 39173 40084 55571 57706 78346 80168 111142 115412 156692 222284 230824 313384 430903 444568 611281 861806 1222562 1723612 2389553 2445124 3447224 4779106 4890248 9558212 19116424 26285083 52570166 105140332 210280664