Search a number
-
+
25305025300 = 22521733134493
BaseRepresentation
bin10111100100010011…
…000000101100010100
32102022112212110212021
4113210103000230110
5403311041302200
615342554302524
71554040110652
oct274423005424
972275773767
1025305025300
11a806033055
124aa2727a44
1325037a3769
141320aa7dd2
159d187541a
hex5e44c0b14

25305025300 has 72 divisors (see below), whose sum is σ = 58172511096. Its totient is φ = 9521602560.

The previous prime is 25305025289. The next prime is 25305025337. The reversal of 25305025300 is 352050352.

It can be written as a sum of positive squares in 12 ways, for example, as 1306677904 + 23998347396 = 36148^2 + 154914^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5629854 + ... + 5634346.

It is an arithmetic number, because the mean of its divisors is an integer number (807951543).

Almost surely, 225305025300 is an apocalyptic number.

25305025300 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 25305025300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29086255548).

25305025300 is an abundant number, since it is smaller than the sum of its proper divisors (32867485796).

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

25305025300 is a wasteful number, since it uses less digits than its factorization.

25305025300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7837 (or 7830 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

Adding to 25305025300 its reverse (352050352), we get a palindrome (25657075652).

The spelling of 25305025300 in words is "twenty-five billion, three hundred five million, twenty-five thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 3313 4493 6626 8986 13252 16565 17972 22465 33130 44930 56321 66260 76381 82825 89860 112325 112642 152762 165650 224650 225284 281605 305524 331300 381905 449300 563210 763810 1126420 1408025 1527620 1909525 2816050 3819050 5632100 7638100 14885309 29770618 59541236 74426545 148853090 253050253 297706180 372132725 506100506 744265450 1012201012 1265251265 1488530900 2530502530 5061005060 6326256325 12652512650 25305025300