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15234230000 = 245411138493
BaseRepresentation
bin11100011000000011…
…11110011011110000
31110022200220001211202
432030001332123300
5222144430330000
610555402230332
71046342550503
oct161401763360
943280801752
1015234230000
116508364530
122b51ab53a8
13158a2297a2
14a4739713a
155e2680dd5
hex38c07e6f0

15234230000 has 100 divisors (see below), whose sum is σ = 40236938808. Its totient is φ = 5539680000.

The previous prime is 15234229999. The next prime is 15234230023. The reversal of 15234230000 is 3243251.

It is a happy number.

15234230000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40754 + ... + 179246.

Almost surely, 215234230000 is an apocalyptic number.

15234230000 is a gapful number since it is divisible by the number (10) 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 15234230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20118469404).

15234230000 is an abundant number, since it is smaller than the sum of its proper divisors (25002708808).

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

15234230000 is a wasteful number, since it uses less digits than its factorization.

15234230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138532 (or 138511 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 15234230000 its reverse (3243251), we get a palindrome (15237473251).

The spelling of 15234230000 in words is "fifteen billion, two hundred thirty-four million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 138493 276986 553972 692465 1107944 1384930 1523423 2215888 2769860 3046846 3462325 5539720 6093692 6924650 7617115 11079440 12187384 13849300 15234230 17311625 24374768 27698600 30468460 34623250 38085575 55397200 60936920 69246500 76171150 86558125 121873840 138493000 152342300 173116250 190427875 276986000 304684600 346232500 380855750 609369200 692465000 761711500 952139375 1384930000 1523423000 1904278750 3046846000 3808557500 7617115000 15234230000