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20230024160 = 255295418059
BaseRepresentation
bin10010110101110011…
…011010101111100000
31221012212100201002002
4102311303122233200
5312412341233120
613143223343132
71314214240163
oct226563325740
957185321062
1020230024160
118641359635
123b06bb1aa8
131ba5244bc8
14d9ca81ada
157d6056375
hex4b5cdabe0

20230024160 has 96 divisors (see below), whose sum is σ = 49539016800. Its totient is φ = 7797565440.

The previous prime is 20230024159. The next prime is 20230024181. The reversal of 20230024160 is 6142003202.

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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2506211 + ... + 2514269.

It is an arithmetic number, because the mean of its divisors is an integer number (516031425).

Almost surely, 220230024160 is an apocalyptic number.

20230024160 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 20230024160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24769508400).

20230024160 is an abundant number, since it is smaller than the sum of its proper divisors (29308992640).

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

20230024160 is a wasteful number, since it uses less digits than its factorization.

20230024160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8644 (or 8636 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20230024160 its reverse (6142003202), we get a palindrome (26372027362).

The spelling of 20230024160 in words is "twenty billion, two hundred thirty million, twenty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 541 580 928 1082 1160 2164 2320 2705 4328 4640 5410 8059 8656 10820 15689 16118 17312 21640 31378 32236 40295 43280 62756 64472 78445 80590 86560 125512 128944 156890 161180 233711 251024 257888 313780 322360 467422 502048 627560 644720 934844 1168555 1255120 1289440 1869688 2337110 2510240 3739376 4359919 4674220 7478752 8719838 9348440 17439676 18696880 21799595 34879352 37393760 43599190 69758704 87198380 126437651 139517408 174396760 252875302 348793520 505750604 632188255 697587040 1011501208 1264376510 2023002416 2528753020 4046004832 5057506040 10115012080 20230024160