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23044432000 = 275310491373
BaseRepresentation
bin10101011101100011…
…100010000010000000
32012111000011102211111
4111131203202002000
5334143333311000
614330402053104
71444030303642
oct253543420200
965430142744
1023044432000
119855a87927
12457164a194
1322333480a5
141188776892
158ed189cba
hex55d8e2080

23044432000 has 128 divisors (see below), whose sum is σ = 57390606000. Its totient is φ = 9202278400.

The previous prime is 23044431967. The next prime is 23044432001. The reversal of 23044432000 is 23444032.

It can be written as a sum of positive squares in 8 ways, for example, as 10850972224 + 12193459776 = 104168^2 + 110424^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (23044432001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16783314 + ... + 16784686.

Almost surely, 223044432000 is an apocalyptic number.

23044432000 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 23044432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28695303000).

23044432000 is an abundant number, since it is smaller than the sum of its proper divisors (34346174000).

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

23044432000 is a wasteful number, since it uses less digits than its factorization.

23044432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 23044432000 its reverse (23444032), we get a palindrome (23067876032).

The spelling of 23044432000 in words is "twenty-three billion, forty-four million, four hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1049 1373 1600 2000 2098 2746 3200 4000 4196 5245 5492 6865 8000 8392 10490 10984 13730 16000 16784 20980 21968 26225 27460 33568 34325 41960 43936 52450 54920 67136 68650 83920 87872 104900 109840 131125 134272 137300 167840 171625 175744 209800 219680 262250 274600 335680 343250 419600 439360 524500 549200 671360 686500 839200 878720 1049000 1098400 1373000 1440277 1678400 2098000 2196800 2746000 2880554 3356800 4196000 4393600 5492000 5761108 7201385 8392000 10984000 11522216 14402770 16784000 21968000 23044432 28805540 36006925 46088864 57611080 72013850 92177728 115222160 144027700 180034625 184355456 230444320 288055400 360069250 460888640 576110800 720138500 921777280 1152221600 1440277000 2304443200 2880554000 4608886400 5761108000 11522216000 23044432000