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23324042240 = 210537123121
BaseRepresentation
bin10101101110001110…
…001010010000000000
32020012111022002222022
4111232032022100000
5340231423322430
614414231101012
71453664042102
oct255616122000
966174262868
1023324042240
1199898a5174
12462b211768
132279257235
1411b395d572
159179bc4e5
hex56e38a400

23324042240 has 88 divisors (see below), whose sum is σ = 57463007352. Its totient is φ = 9077391360.

The previous prime is 23324042207. The next prime is 23324042263. The reversal of 23324042240 is 4224042332.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11036763136 + 12287279104 = 105056^2 + 110848^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 127880 + ... + 251000.

Almost surely, 223324042240 is an apocalyptic number.

23324042240 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 23324042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28731503676).

23324042240 is an abundant number, since it is smaller than the sum of its proper divisors (34138965112).

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

23324042240 is a wasteful number, since it uses less digits than its factorization.

23324042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123183 (or 123165 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 23324042240 its reverse (4224042332), we get a palindrome (27548084572).

The spelling of 23324042240 in words is "twenty-three billion, three hundred twenty-four million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 512 592 640 740 1024 1184 1280 1480 2368 2560 2960 4736 5120 5920 9472 11840 18944 23680 37888 47360 94720 123121 189440 246242 492484 615605 984968 1231210 1969936 2462420 3939872 4555477 4924840 7879744 9110954 9849680 15759488 18221908 19699360 22777385 31518976 36443816 39398720 45554770 63037952 72887632 78797440 91109540 126075904 145775264 157594880 182219080 291550528 315189760 364438160 583101056 630379520 728876320 1166202112 1457752640 2332404224 2915505280 4664808448 5831010560 11662021120 23324042240