Search a number
-
+
10024234000 = 245311455647
BaseRepresentation
bin10010101010111110…
…11010110000010000
3221212121100211220221
421111133122300100
5131012200442000
64334410042424
7503260404004
oct112537326020
927777324827
1010024234000
114284467410
121b39119414
13c39a23b11
146b1470704
153da09861a
hex2557dac10

10024234000 has 80 divisors (see below), whose sum is σ = 26442164736. Its totient is φ = 3645168000.

The previous prime is 10024233979. The next prime is 10024234001. The reversal of 10024234000 is 43242001.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10024234001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205824 + ... + 249823.

Almost surely, 210024234000 is an apocalyptic number.

10024234000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024234000 is an abundant number, since it is smaller than the sum of its proper divisors (16417930736).

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

10024234000 is a wasteful number, since it uses less digits than its factorization.

10024234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455681 (or 455665 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10024234000 its reverse (43242001), we get a palindrome (10067476001).

The spelling of 10024234000 in words is "ten billion, twenty-four million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 455647 911294 1822588 2278235 3645176 4556470 5012117 7290352 9112940 10024234 11391175 18225880 20048468 22782350 25060585 36451760 40096936 45564700 50121170 56955875 80193872 91129400 100242340 113911750 125302925 182258800 200484680 227823500 250605850 400969360 455647000 501211700 626514625 911294000 1002423400 1253029250 2004846800 2506058500 5012117000 10024234000