Search a number
-
+
312227208 = 2332231671129
BaseRepresentation
bin10010100111000…
…011010110001000
3210202111210012200
4102213003112020
51114412232313
650552040200
710510613256
oct2247032610
9722453180
10312227208
11150275a17
1288693060
134c8bc337
142d6775d6
151c626b73
hex129c3588

312227208 has 96 divisors (see below), whose sum is σ = 888451200. Its totient is φ = 98866944.

The previous prime is 312227173. The next prime is 312227261. The reversal of 312227208 is 802722213.

It is a happy number.

312227208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275988 + ... + 277116.

It is an arithmetic number, because the mean of its divisors is an integer number (9254700).

Almost surely, 2312227208 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 312227208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444225600).

312227208 is an abundant number, since it is smaller than the sum of its proper divisors (576223992).

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

312227208 is a wasteful number, since it uses less digits than its factorization.

312227208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 312227208 is about 17669.9521221762. The cubic root of 312227208 is about 678.4068876218.

The spelling of 312227208 in words is "three hundred twelve million, two hundred twenty-seven thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 167 184 207 276 334 414 501 552 668 828 1002 1129 1336 1503 1656 2004 2258 3006 3387 3841 4008 4516 6012 6774 7682 9032 10161 11523 12024 13548 15364 20322 23046 25967 27096 30728 34569 40644 46092 51934 69138 77901 81288 92184 103868 138276 155802 188543 207736 233703 276552 311604 377086 467406 565629 623208 754172 934812 1131258 1508344 1696887 1869624 2262516 3393774 4336489 4525032 6787548 8672978 13009467 13575096 17345956 26018934 34691912 39028401 52037868 78056802 104075736 156113604 312227208