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25230900 = 22352312713
BaseRepresentation
bin110000000111…
…1111000110100
31202110212021210
41200033320310
522424342100
62300441420
7424313322
oct140177064
952425253
1025230900
1113273392
128549270
1352c5336
1434cad12
152335c50
hex180fe34

25230900 has 72 divisors (see below), whose sum is σ = 75384064. Its totient is φ = 6508800.

The previous prime is 25230893. The next prime is 25230901. The reversal of 25230900 is 903252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25230901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7944 + ... + 10656.

Almost surely, 225230900 is an apocalyptic number.

25230900 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 25230900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37692032).

25230900 is an abundant number, since it is smaller than the sum of its proper divisors (50153164).

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

25230900 is a wasteful number, since it uses less digits than its factorization.

25230900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 25230900 is about 5023.0369299857. The cubic root of 25230900 is about 293.2992241101.

The spelling of 25230900 in words is "twenty-five million, two hundred thirty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 2713 3100 4650 5426 8139 9300 10852 13565 16278 27130 32556 40695 54260 67825 81390 84103 135650 162780 168206 203475 252309 271300 336412 406950 420515 504618 813900 841030 1009236 1261545 1682060 2102575 2523090 4205150 5046180 6307725 8410300 12615450 25230900