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25218864 = 2434112961
BaseRepresentation
bin110000000110…
…0111100110000
31202110020210000
41200030330300
522424000424
62300310000
7424233246
oct140147460
952406700
1025218864
1113265340
128542300
1352bca08
1434c6796
1523323c9
hex180cf30

25218864 has 200 divisors, whose sum is σ = 83722320. Its totient is φ = 7257600.

The previous prime is 25218859. The next prime is 25218877. The reversal of 25218864 is 46881252.

It is a super-2 number, since 2×252188642 = 1271982202900992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 413394 + ... + 413454.

Almost surely, 225218864 is an apocalyptic number.

25218864 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 25218864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41861160).

25218864 is an abundant number, since it is smaller than the sum of its proper divisors (58503456).

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

25218864 is a wasteful number, since it uses less digits than its factorization.

25218864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 25218864 is about 5021.8387070873. The cubic root of 25218864 is about 293.2525787804.

It can be divided in two parts, 252188 and 64, that added together give a palindrome (252252).

The spelling of 25218864 in words is "twenty-five million, two hundred eighteen thousand, eight hundred sixty-four".