Search a number
-
+
23130003200 = 285223315511
BaseRepresentation
bin10101100010101001…
…111101011100000000
32012200222011220110012
4111202221331130000
5334332240100300
614343100124052
71446116532443
oct254251753400
965628156405
1023130003200
11989a313827
124596236628
132247ca9235
141195c8d65a
1590593e435
hex562a7d700

23130003200 has 108 divisors (see below), whose sum is σ = 57499788528. Its totient is φ = 9211699200.

The previous prime is 23130003187. The next prime is 23130003209. The reversal of 23130003200 is 230003132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23130003209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1483445 + ... + 1498955.

Almost surely, 223130003200 is an apocalyptic number.

23130003200 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 23130003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28749894264).

23130003200 is an abundant number, since it is smaller than the sum of its proper divisors (34369785328).

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

23130003200 is a wasteful number, since it uses less digits than its factorization.

23130003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15770 (or 15751 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 23130003200 its reverse (230003132), we get a palindrome (23360006332).

The spelling of 23130003200 in words is "twenty-three billion, one hundred thirty million, three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 233 256 320 400 466 640 800 932 1165 1280 1600 1864 2330 3200 3728 4660 5825 6400 7456 9320 11650 14912 15511 18640 23300 29824 31022 37280 46600 59648 62044 74560 77555 93200 124088 149120 155110 186400 248176 298240 310220 372800 387775 496352 620440 745600 775550 992704 1240880 1491200 1551100 1985408 2481760 3102200 3614063 3970816 4963520 6204400 7228126 9927040 12408800 14456252 18070315 19854080 24817600 28912504 36140630 49635200 57825008 72281260 90351575 99270400 115650016 144562520 180703150 231300032 289125040 361406300 462600064 578250080 722812600 925200128 1156500160 1445625200 2313000320 2891250400 4626000640 5782500800 11565001600 23130003200