Search a number
-
+
212223312312 = 23311273079653
BaseRepresentation
bin1100010110100101111…
…1101100000110111000
3202021210012121021202020
43011221133230012320
511434113131443222
6241254414034440
721222043251024
oct3055137540670
9667705537666
10212223312312
1182004588700
12351691a8a20
1317021810c5b
14a3b362d384
1557c160665c
hex31697ec1b8

212223312312 has 48 divisors (see below), whose sum is σ = 583175638920. Its totient is φ = 64310093760.

The previous prime is 212223312307. The next prime is 212223312313. The reversal of 212223312312 is 213213322212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212223312313) 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, 36536923 + ... + 36542730.

Almost surely, 2212223312312 is an apocalyptic number.

212223312312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212223312312 is an abundant number, since it is smaller than the sum of its proper divisors (370952326608).

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

212223312312 is a wasteful number, since it uses less digits than its factorization.

212223312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73079684 (or 73079669 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 212223312312 its reverse (213213322212), we get a palindrome (425436634524).

The spelling of 212223312312 in words is "two hundred twelve billion, two hundred twenty-three million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 73079653 146159306 219238959 292318612 438477918 584637224 803876183 876955836 1607752366 1753911672 2411628549 3215504732 4823257098 6431009464 8842638013 9646514196 17685276026 19293028392 26527914039 35370552052 53055828078 70741104104 106111656156 212223312312