Search a number
-
+
23252491920 = 2435713840769
BaseRepresentation
bin10101101001111101…
…001101111010010000
32020000111122222101110
4111221331031322100
5340110114220140
614403153333320
71452134630430
oct255175157220
966014588343
1023252491920
119952475379
12460b267240
132267494b78
1411a82562c0
15911587380
hex569f4de90

23252491920 has 80 divisors (see below), whose sum is σ = 82380263040. Its totient is φ = 5314854912.

The previous prime is 23252491919. The next prime is 23252491949. The reversal of 23252491920 is 2919425232.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6918705 + ... + 6922064.

It is an arithmetic number, because the mean of its divisors is an integer number (1029753288).

Almost surely, 223252491920 is an apocalyptic number.

23252491920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23252491920 is an abundant number, since it is smaller than the sum of its proper divisors (59127771120).

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

23252491920 is a wasteful number, since it uses less digits than its factorization.

23252491920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13840792 (or 13840786 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 23252491920 in words is "twenty-three billion, two hundred fifty-two million, four hundred ninety-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 13840769 27681538 41522307 55363076 69203845 83044614 96885383 110726152 138407690 166089228 193770766 207611535 221452304 276815380 290656149 332178456 387541532 415223070 484426915 553630760 581312298 664356912 775083064 830446140 968853830 1107261520 1162624596 1453280745 1550166128 1660892280 1937707660 2325249192 2906561490 3321784560 3875415320 4650498384 5813122980 7750830640 11626245960 23252491920