Search a number
-
+
250164024 = 233114322037
BaseRepresentation
bin11101110100100…
…11001100111000
3122102201122112020
432322103030320
51003020222044
640453514440
76125234115
oct1672231470
9572648466
10250164024
11119235a30
126b942a20
133ca9c266
142531d90c
1516e67a19
hexee93338

250164024 has 64 divisors (see below), whose sum is σ = 698163840. Its totient is φ = 74040960.

The previous prime is 250164023. The next prime is 250164041. The reversal of 250164024 is 420461052.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 250163985 and 250164003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250164023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334 + ... + 22370.

It is an arithmetic number, because the mean of its divisors is an integer number (10908810).

Almost surely, 2250164024 is an apocalyptic number.

250164024 is a gapful number since it is divisible by the number (24) 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 250164024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349081920).

250164024 is an abundant number, since it is smaller than the sum of its proper divisors (447999816).

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

250164024 is a wasteful number, since it uses less digits than its factorization.

250164024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22100 (or 22096 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 250164024 is about 15816.5743446550. The cubic root of 250164024 is about 630.0982663548.

The spelling of 250164024 in words is "two hundred fifty million, one hundred sixty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2838 3784 5676 11352 22037 44074 66111 88148 132222 176296 242407 264444 484814 528888 727221 947591 969628 1454442 1895182 1939256 2842773 2908884 3790364 5685546 5817768 7580728 10423501 11371092 20847002 22742184 31270503 41694004 62541006 83388008 125082012 250164024