Search a number
-
+
245174292 = 2232111135479
BaseRepresentation
bin11101001110100…
…01000000010100
3122002100010220100
432213101000110
51000231034132
640154534100
76034642566
oct1647210024
9562303810
10245174292
11116438090
126a137330
133ba4305c
14247c1336
15167ce37c
hexe9d1014

245174292 has 72 divisors (see below), whose sum is σ = 682194240. Its totient is φ = 73624320.

The previous prime is 245174291. The next prime is 245174329. The reversal of 245174292 is 292471542.

It is a super-2 number, since 2×2451742922 = 120220866915402528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245174291) 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 23 ways as a sum of consecutive naturals, for example, 42009 + ... + 47487.

It is an arithmetic number, because the mean of its divisors is an integer number (9474920).

Almost surely, 2245174292 is an apocalyptic number.

245174292 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245174292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341097120).

245174292 is an abundant number, since it is smaller than the sum of its proper divisors (437019948).

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

245174292 is a wasteful number, since it uses less digits than its factorization.

245174292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5613 (or 5608 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 245174292 is about 15658.0424063802. The cubic root of 245174292 is about 625.8808205717.

The spelling of 245174292 in words is "two hundred forty-five million, one hundred seventy-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 113 132 198 226 339 396 452 678 1017 1243 1356 2034 2486 3729 4068 4972 5479 7458 10958 11187 14916 16437 21916 22374 32874 44748 49311 60269 65748 98622 120538 180807 197244 241076 361614 542421 619127 723228 1084842 1238254 1857381 2169684 2476508 3714762 5572143 6810397 7429524 11144286 13620794 20431191 22288572 27241588 40862382 61293573 81724764 122587146 245174292