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252373000 = 23531122943
BaseRepresentation
bin11110000101011…
…10100000001000
3122120212212200011
433002232200020
51004101414000
641013121304
76153064225
oct1702564010
9576785604
10252373000
1111a504630
1270629234
1340393849
142573694c
15172522ba
hexf0ae808

252373000 has 64 divisors (see below), whose sum is σ = 644267520. Its totient is φ = 91768000.

The previous prime is 252372983. The next prime is 252373001. The reversal of 252373000 is 373252.

It is a happy number.

It is a super-2 number, since 2×2523730002 = 127384262258000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (252373001) 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 15 ways as a sum of consecutive naturals, for example, 472 + ... + 22471.

It is an arithmetic number, because the mean of its divisors is an integer number (10066680).

Almost surely, 2252373000 is an apocalyptic number.

252373000 is a gapful number since it is divisible by the number (20) 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 252373000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322133760).

252373000 is an abundant number, since it is smaller than the sum of its proper divisors (391894520).

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

252373000 is a wasteful number, since it uses less digits than its factorization.

252373000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22975 (or 22961 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 252373000 is about 15886.2519179321. The cubic root of 252373000 is about 631.9474466262.

The spelling of 252373000 in words is "two hundred fifty-two million, three hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 22943 45886 91772 114715 183544 229430 252373 458860 504746 573575 917720 1009492 1147150 1261865 2018984 2294300 2523730 2867875 4588600 5047460 5735750 6309325 10094920 11471500 12618650 22943000 25237300 31546625 50474600 63093250 126186500 252373000