Search a number
-
+
212630016 = 293172479
BaseRepresentation
bin11001010110001…
…11101000000000
3112211002201112210
430223013220000
5413413130031
633033222120
75161216404
oct1453075000
9484081483
10212630016
11aa02a095
125b261940
1335089ca1
142034d104
1513a01746
hexcac7a00

212630016 has 120 divisors (see below), whose sum is σ = 602997120. Its totient is φ = 66568192.

The previous prime is 212629997. The next prime is 212630017. The reversal of 212630016 is 610036212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212629974 and 212630001.

It is not an unprimeable number, because it can be changed into a prime (212630017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 443665 + ... + 444143.

It is an arithmetic number, because the mean of its divisors is an integer number (5024976).

Almost surely, 2212630016 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 212630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301498560).

212630016 is an abundant number, since it is smaller than the sum of its proper divisors (390367104).

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

212630016 is an equidigital number, since it uses as much as digits as its factorization.

212630016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 212630016 is about 14581.8385672041. The cubic root of 212630016 is about 596.8632746104.

Adding to 212630016 its reverse (610036212), we get a palindrome (822666228).

The spelling of 212630016 in words is "two hundred twelve million, six hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 289 384 408 479 512 544 578 768 816 867 958 1088 1156 1437 1536 1632 1734 1916 2176 2312 2874 3264 3468 3832 4352 4624 5748 6528 6936 7664 8143 8704 9248 11496 13056 13872 15328 16286 18496 22992 24429 26112 27744 30656 32572 36992 45984 48858 55488 61312 65144 73984 91968 97716 110976 122624 130288 138431 147968 183936 195432 221952 245248 260576 276862 367872 390864 415293 443904 521152 553724 735744 781728 830586 1042304 1107448 1563456 1661172 2084608 2214896 3126912 3322344 4169216 4429792 6253824 6644688 8859584 12507648 13289376 17719168 26578752 35438336 53157504 70876672 106315008 212630016