Search a number
-
+
24233442000 = 243534038907
BaseRepresentation
bin10110100100011011…
…001111101011010000
32022112212111101220220
4112210123033223100
5344112230121000
615044354433040
71515345600255
oct264433175320
968485441826
1024233442000
11a306167719
124843892780
1323927921c1
14125c64542c
1596c7541a0
hex5a46cfad0

24233442000 has 80 divisors (see below), whose sum is σ = 78128636352. Its totient is φ = 6462249600.

The previous prime is 24233441987. The next prime is 24233442053. The reversal of 24233442000 is 24433242.

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

It is a super-2 number, since 2×242334420002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2013454 + ... + 2025453.

Almost surely, 224233442000 is an apocalyptic number.

24233442000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24233442000 is an abundant number, since it is smaller than the sum of its proper divisors (53895194352).

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

24233442000 is a wasteful number, since it uses less digits than its factorization.

24233442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4038933 (or 4038917 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 24233442000 its reverse (24433242), we get a palindrome (24257875242).

The spelling of 24233442000 in words is "twenty-four billion, two hundred thirty-three million, four hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 4038907 8077814 12116721 16155628 20194535 24233442 32311256 40389070 48466884 60583605 64622512 80778140 96933768 100972675 121167210 161556280 193867536 201945350 242334420 302918025 323112560 403890700 484668840 504863375 605836050 807781400 969337680 1009726750 1211672100 1514590125 1615562800 2019453500 2423344200 3029180250 4038907000 4846688400 6058360500 8077814000 12116721000 24233442000