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25212000 = 2535311191
BaseRepresentation
bin110000000101…
…1010001100000
31202102220100210
41200023101200
522423241000
62300214120
7424204242
oct140132140
952386323
1025212000
1113260170
12853a340
1352b9858
1434c4092
152330350
hex180b460

25212000 has 192 divisors, whose sum is σ = 90574848. Its totient is φ = 6080000.

The previous prime is 25211999. The next prime is 25212001. The reversal of 25212000 is 21252.

It is an interprime number because it is at equal distance from previous prime (25211999) and next prime (25212001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25212001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131905 + ... + 132095.

It is an arithmetic number, because the mean of its divisors is an integer number (471744).

Almost surely, 225212000 is an apocalyptic number.

25212000 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 25212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45287424).

25212000 is an abundant number, since it is smaller than the sum of its proper divisors (65362848).

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

25212000 is a wasteful number, since it uses less digits than its factorization.

25212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 25212000 is about 5021.1552455585. The cubic root of 25212000 is about 293.2259708102.

Adding to 25212000 its reverse (21252), we get a palindrome (25233252).

The spelling of 25212000 in words is "twenty-five million, two hundred twelve thousand".