Search a number
-
+
23252000200 = 23521113262539
BaseRepresentation
bin10101101001111011…
…010101110111001000
32020000110201222212121
4111221323111313020
5340110003001300
614403135021024
71452130512022
oct255173256710
966013658777
1023252000200
1199521699a0
12460b06a774
132267352100
1411a8169012
159114db81a
hex569ed5dc8

23252000200 has 144 divisors (see below), whose sum is σ = 63862095600. Its totient is φ = 7804742400.

The previous prime is 23252000159. The next prime is 23252000221. The reversal of 23252000200 is 200025232.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 340531 + ... + 403069.

It is an arithmetic number, because the mean of its divisors is an integer number (443486775).

Almost surely, 223252000200 is an apocalyptic number.

23252000200 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 23252000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31931047800).

23252000200 is an abundant number, since it is smaller than the sum of its proper divisors (40610095400).

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

23252000200 is a wasteful number, since it uses less digits than its factorization.

23252000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62592 (or 62570 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

Adding to 23252000200 its reverse (200025232), we get a palindrome (23452025432).

The spelling of 23252000200 in words is "twenty-three billion, two hundred fifty-two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 130 143 169 200 220 260 275 286 325 338 440 520 550 572 650 676 715 845 1100 1144 1300 1352 1430 1690 1859 2200 2600 2860 3380 3575 3718 4225 5720 6760 7150 7436 8450 9295 14300 14872 16900 18590 28600 33800 37180 46475 62539 74360 92950 125078 185900 250156 312695 371800 500312 625390 687929 813007 1250780 1375858 1563475 1626014 2501560 2751716 3126950 3252028 3439645 4065035 5503432 6253900 6504056 6879290 8130070 8943077 10569091 12507800 13758580 16260140 17198225 17886154 20325175 21138182 27517160 32520280 34396450 35772308 40650350 42276364 44715385 52845455 68792900 71544616 81300700 84552728 89430770 105690910 116260001 137585800 162601400 178861540 211381820 223576925 232520002 264227275 357723080 422763640 447153850 465040004 528454550 581300005 894307700 930080008 1056909100 1162600010 1788615400 2113818200 2325200020 2906500025 4650400040 5813000050 11626000100 23252000200