Search a number
-
+
212013300 = 22352769919
BaseRepresentation
bin11001010001100…
…01000011110100
3112202221101120110
430220301003310
5413233411200
633012103020
75153040402
oct1450610364
9482841513
10212013300
11a9748804
125b004a70
1334c02375
142022c472
151392db50
hexca310f4

212013300 has 72 divisors (see below), whose sum is σ = 614891200. Its totient is φ = 56401920.

The previous prime is 212013299. The next prime is 212013301. The reversal of 212013300 is 3310212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212013299) and next prime (212013301).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212013301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230241 + ... + 231159.

Almost surely, 2212013300 is an apocalyptic number.

212013300 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 212013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307445600).

212013300 is an abundant number, since it is smaller than the sum of its proper divisors (402877900).

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

212013300 is a wasteful number, since it uses less digits than its factorization.

212013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 212013300 is about 14560.6764952732. The cubic root of 212013300 is about 596.2856647487.

Adding to 212013300 its reverse (3310212), we get a palindrome (215323512).

The spelling of 212013300 in words is "two hundred twelve million, thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 769 919 1538 1838 2307 2757 3076 3676 3845 4595 4614 5514 7690 9190 9228 11028 11535 13785 15380 18380 19225 22975 23070 27570 38450 45950 46140 55140 57675 68925 76900 91900 115350 137850 230700 275700 706711 1413422 2120133 2826844 3533555 4240266 7067110 8480532 10600665 14134220 17667775 21201330 35335550 42402660 53003325 70671100 106006650 212013300