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23032331000 = 2353717193549
BaseRepresentation
bin10101011100110101…
…010111101011111000
32012110011101122101022
4111130311113223320
5334132234043000
614325250442012
71443522404030
oct253465275370
965404348338
1023032331000
11984a1721a8
124569593308
13223099c133
141186d068c0
158ec099585
hex55cd57af8

23032331000 has 128 divisors (see below), whose sum is σ = 65218608000. Its totient is φ = 7432243200.

The previous prime is 23032330987. The next prime is 23032331041. The reversal of 23032331000 is 13323032.

It is a super-2 number, since 2×230323310002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 23032331000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22226 + ... + 215774.

It is an arithmetic number, because the mean of its divisors is an integer number (509520375).

Almost surely, 223032331000 is an apocalyptic number.

23032331000 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 23032331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32609304000).

23032331000 is an abundant number, since it is smaller than the sum of its proper divisors (42186277000).

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

23032331000 is a wasteful number, since it uses less digits than its factorization.

23032331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193594 (or 193580 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 23032331000 its reverse (13323032), we get a palindrome (23045654032).

The spelling of 23032331000 in words is "twenty-three billion, thirty-two million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 125 136 140 170 175 200 238 250 280 340 350 425 476 500 595 680 700 850 875 952 1000 1190 1400 1700 1750 2125 2380 2975 3400 3500 4250 4760 5950 7000 8500 11900 14875 17000 23800 29750 59500 119000 193549 387098 774196 967745 1354843 1548392 1935490 2709686 3290333 3870980 4838725 5419372 6580666 6774215 7741960 9677450 10838744 13161332 13548430 16451665 19354900 23032331 24193625 26322664 27096860 32903330 33871075 38709800 46064662 48387250 54193720 65806660 67742150 82258325 92129324 96774500 115161655 131613320 135484300 164516650 169355375 184258648 193549000 230323310 270968600 329033300 338710750 411291625 460646620 575808275 658066600 677421500 822583250 921293240 1151616550 1354843000 1645166500 2303233100 2879041375 3290333000 4606466200 5758082750 11516165500 23032331000