Search a number
-
+
211300692444 = 223419233594157
BaseRepresentation
bin1100010011001010000…
…0001011000111011100
3202012101220112100020000
43010302200023013130
511430220434124234
6241023055054300
721160141152132
oct3046240130734
9665356470200
10211300692444
1181680806746
1234b50211390
1316c0562783a
14a326ca5752
15576a60c899
hex313280b1dc

211300692444 has 240 divisors, whose sum is σ = 608571532800. Its totient is φ = 63632283264.

The previous prime is 211300692433. The next prime is 211300692457. The reversal of 211300692444 is 444296003112.

211300692444 is a `hidden beast` number, since 21 + 130 + 0 + 69 + 2 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 211300692399 and 211300692408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50828014 + ... + 50832170.

It is an arithmetic number, because the mean of its divisors is an integer number (2535714720).

Almost surely, 2211300692444 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 211300692444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304285766400).

211300692444 is an abundant number, since it is smaller than the sum of its proper divisors (397270840356).

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

211300692444 is a wasteful number, since it uses less digits than its factorization.

211300692444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4574 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 211300692444 its reverse (444296003112), we get a palindrome (655596695556).

The spelling of 211300692444 in words is "two hundred eleven billion, three hundred million, six hundred ninety-two thousand, four hundred forty-four".