[go: up one dir, main page]

Search a number
-
+
31450200 = 23352234353
BaseRepresentation
bin111011111111…
…0010001011000
32012011211120020
41313332101120
531022401300
63042030440
7531215355
oct167762130
965154506
1031450200
1116831001
12a648420
1366920b2
14426962c
152b638a0
hex1dfe458

31450200 has 192 divisors, whose sum is σ = 106064640. Its totient is φ = 7687680.

The previous prime is 31450163. The next prime is 31450207. The reversal of 31450200 is 205413.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31450200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31450207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 593374 + ... + 593426.

It is an arithmetic number, because the mean of its divisors is an integer number (552420).

Almost surely, 231450200 is an apocalyptic number.

31450200 is a gapful number since it is divisible by the number (30) 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 31450200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53032320).

31450200 is an abundant number, since it is smaller than the sum of its proper divisors (74614440).

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

31450200 is a wasteful number, since it uses less digits than its factorization.

31450200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 31450200 is about 5608.0477886694. The cubic root of 31450200 is about 315.6514610368.

Adding to 31450200 its reverse (205413), we get a palindrome (31655613).

The spelling of 31450200 in words is "thirty-one million, four hundred fifty thousand, two hundred".