Search a number
-
+
31082238 = 2331126771
BaseRepresentation
bin111011010010…
…0011011111110
32011111010211000
41312210123332
530424112423
63030111130
7525123525
oct166443376
964433730
1031082238
11165aa600
12a4ab4a6
136593775
1441b14bc
152ade843
hex1da46fe

31082238 has 96 divisors (see below), whose sum is σ = 78140160. Its totient is φ = 9147600.

The previous prime is 31082213. The next prime is 31082263. The reversal of 31082238 is 83228013.

It is an interprime number because it is at equal distance from previous prime (31082213) and next prime (31082263).

It is a super-2 number, since 2×310822382 = 1932211038177288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437743 + ... + 437813.

It is an arithmetic number, because the mean of its divisors is an integer number (813960).

Almost surely, 231082238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31082238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39070080).

31082238 is an abundant number, since it is smaller than the sum of its proper divisors (47057922).

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

31082238 is a wasteful number, since it uses less digits than its factorization.

31082238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 31082238 is about 5575.1446618003. The cubic root of 31082238 is about 314.4156058334.

The spelling of 31082238 in words is "thirty-one million, eighty-two thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 67 71 99 121 134 142 198 201 213 242 297 363 402 426 594 603 639 726 737 781 1089 1206 1278 1474 1562 1809 1917 2178 2211 2343 3267 3618 3834 4422 4686 4757 6534 6633 7029 8107 8591 9514 13266 14058 14271 16214 17182 19899 21087 24321 25773 28542 39798 42174 42813 48642 51546 52327 72963 77319 85626 104654 128439 145926 154638 156981 218889 231957 256878 313962 437778 463914 470943 575597 941886 1151194 1412829 1726791 2825658 3453582 5180373 10360746 15541119 31082238