Search a number
-
+
310134222 = 23237736379
BaseRepresentation
bin10010011111000…
…100010111001110
3210121120110011200
4102133010113032
51113343243342
650435130330
710454045256
oct2237042716
9717513150
10310134222
1114a076482
1287a439a6
134c338798
142d290966
151c36194c
hex127c45ce

310134222 has 48 divisors (see below), whose sum is σ = 699681840. Its totient is φ = 99190656.

The previous prime is 310134211. The next prime is 310134241. The reversal of 310134222 is 222431013.

310134222 is a `hidden beast` number, since 310 + 134 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 310134195 and 310134204.

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, 45429 + ... + 51807.

It is an arithmetic number, because the mean of its divisors is an integer number (14576705).

Almost surely, 2310134222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310134222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349840920).

310134222 is an abundant number, since it is smaller than the sum of its proper divisors (389547618).

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

310134222 is a wasteful number, since it uses less digits than its factorization.

310134222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6497 (or 6494 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 310134222 is about 17610.6280978277. The cubic root of 310134222 is about 676.8876086437.

Adding to 310134222 its reverse (222431013), we get a palindrome (532565235).

The spelling of 310134222 in words is "three hundred ten million, one hundred thirty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 73 74 111 146 219 222 333 438 657 666 1314 2701 5402 6379 8103 12758 16206 19137 24309 38274 48618 57411 114822 236023 465667 472046 708069 931334 1397001 1416138 2124207 2794002 4191003 4248414 8382006 17229679 34459358 51689037 103378074 155067111 310134222