Search a number
-
+
212773232 = 24729109601
BaseRepresentation
bin11001010111010…
…10100101110000
3112211101000000002
430223222211300
5413432220412
633040245132
75162354060
oct1453524560
9484330002
10212773232
11aa117751
125b3107a8
133510a229
14203893a0
1513a2ddc2
hexcaea970

212773232 has 80 divisors (see below), whose sum is σ = 492676800. Its totient is φ = 87091200.

The previous prime is 212773163. The next prime is 212773321. The reversal of 212773232 is 232377212.

It is a happy number.

212773232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 212773195 and 212773204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353732 + ... + 354332.

It is an arithmetic number, because the mean of its divisors is an integer number (6158460).

Almost surely, 2212773232 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 212773232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246338400).

212773232 is an abundant number, since it is smaller than the sum of its proper divisors (279903568).

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

212773232 is a wasteful number, since it uses less digits than its factorization.

212773232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 748 counting only the distinct ones).

The product of its digits is 7056, while the sum is 29.

The square root of 212773232 is about 14586.7485067783. The cubic root of 212773232 is about 596.9972494021.

The spelling of 212773232 in words is "two hundred twelve million, seven hundred seventy-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 109 112 116 203 218 232 406 436 464 601 763 812 872 1202 1526 1624 1744 2404 3052 3161 3248 4207 4808 6104 6322 8414 9616 12208 12644 16828 17429 22127 25288 33656 34858 44254 50576 65509 67312 69716 88508 122003 131018 139432 177016 244006 262036 278864 354032 458563 488012 524072 917126 976024 1048144 1834252 1899761 1952048 3668504 3799522 7337008 7599044 13298327 15198088 26596654 30396176 53193308 106386616 212773232