Search a number
-
+
293154972 = 223113122311
BaseRepresentation
bin10001011110010…
…011000010011100
3202102121211000120
4101132103002130
51100021424342
645031154540
710156530135
oct2136230234
9672554016
10293154972
11140529740
1282215a50
13489722a6
142ad10c8c
151ab0aaec
hex1179309c

293154972 has 72 divisors (see below), whose sum is σ = 771394176. Its totient is φ = 85932000.

The previous prime is 293154913. The next prime is 293154977. The reversal of 293154972 is 279451392.

293154972 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 not an unprimeable number, because it can be changed into a prime (293154977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125697 + ... + 128007.

It is an arithmetic number, because the mean of its divisors is an integer number (10713808).

Almost surely, 2293154972 is an apocalyptic number.

293154972 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 293154972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385697088).

293154972 is an abundant number, since it is smaller than the sum of its proper divisors (478239204).

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

293154972 is a wasteful number, since it uses less digits than its factorization.

293154972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2358 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 293154972 is about 17121.7689506663. The cubic root of 293154972 is about 664.3022979987.

The spelling of 293154972 in words is "two hundred ninety-three million, one hundred fifty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 961 1023 1364 1922 2046 2311 2883 3844 4092 4622 5766 6933 9244 10571 11532 13866 21142 25421 27732 31713 42284 50842 63426 71641 76263 101684 126852 143282 152526 214923 286564 305052 429846 788051 859692 1576102 2220871 2364153 3152204 4441742 4728306 6662613 8883484 9456612 13325226 24429581 26650452 48859162 73288743 97718324 146577486 293154972