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23301336432 = 243111923100987
BaseRepresentation
bin10101101100110111…
…100010110101110000
32020010220120112110110
4111230313202311300
5340210120231212
614412100301320
71453300043313
oct255467426560
966126515413
1023301336432
119977aa6a40
1246236a1840
13227463734a
1411b092c97a
159159d4a3c
hex56cde2d70

23301336432 has 160 divisors (see below), whose sum is σ = 72129669120. Its totient is φ = 6398472960.

The previous prime is 23301336371. The next prime is 23301336473. The reversal of 23301336432 is 23463310332.

It is a self number, because there is not a number n which added to its sum of digits gives 23301336432.

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 31 ways as a sum of consecutive naturals, for example, 180243 + ... + 281229.

It is an arithmetic number, because the mean of its divisors is an integer number (450810432).

Almost surely, 223301336432 is an apocalyptic number.

23301336432 is a gapful number since it is divisible by the number (22) 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 23301336432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36064834560).

23301336432 is an abundant number, since it is smaller than the sum of its proper divisors (48828332688).

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

23301336432 is a wasteful number, since it uses less digits than its factorization.

23301336432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101051 (or 101045 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 23301336432 its reverse (23463310332), we get a palindrome (46764646764).

The spelling of 23301336432 in words is "twenty-three billion, three hundred one million, three hundred thirty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 23 24 33 38 44 46 48 57 66 69 76 88 92 114 132 138 152 176 184 209 228 253 264 276 304 368 418 437 456 506 528 552 627 759 836 874 912 1012 1104 1254 1311 1518 1672 1748 2024 2508 2622 3036 3344 3496 4048 4807 5016 5244 6072 6992 9614 10032 10488 12144 14421 19228 20976 28842 38456 57684 76912 100987 115368 201974 230736 302961 403948 605922 807896 1110857 1211844 1615792 1918753 2221714 2322701 2423688 3332571 3837506 4443428 4645402 4847376 5756259 6665142 6968103 7675012 8886856 9290804 11512518 13330284 13936206 15350024 17773712 18581608 21106283 23025036 25549711 26660568 27872412 30700048 37163216 42212566 44131319 46050072 51099422 53321136 55744824 63318849 76649133 84425132 88262638 92100144 102198844 111489648 126637698 132393957 153298266 168850264 176525276 204397688 253275396 264787914 306596532 337700528 353050552 408795376 485444509 506550792 529575828 613193064 706101104 970889018 1013101584 1059151656 1226386128 1456333527 1941778036 2118303312 2912667054 3883556072 5825334108 7767112144 11650668216 23301336432