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23227012032 = 263730415683
BaseRepresentation
bin10101101000011100…
…000001001111000000
32012221201201110112220
4111220130001033000
5340032103341112
614400443251040
71451405226150
oct255034011700
965851643486
1023227012032
11993a051a14
124602819a80
132262113403
1411a4b02760
1590e20298c
hex5687013c0

23227012032 has 112 divisors (see below), whose sum is σ = 70269518592. Its totient is φ = 6632939520.

The previous prime is 23227011989. The next prime is 23227012097. The reversal of 23227012032 is 23021072232.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23227011993 and 23227012011.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4084263 + ... + 4089945.

It is an arithmetic number, because the mean of its divisors is an integer number (627406416).

Almost surely, 223227012032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23227012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35134759296).

23227012032 is an abundant number, since it is smaller than the sum of its proper divisors (47042506560).

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

23227012032 is a wasteful number, since it uses less digits than its factorization.

23227012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8746 (or 8736 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

Adding to 23227012032 its reverse (23021072232), we get a palindrome (46248084264).

The spelling of 23227012032 in words is "twenty-three billion, two hundred twenty-seven million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 3041 5683 6082 9123 11366 12164 17049 18246 21287 22732 24328 34098 36492 39781 42574 45464 48656 63861 68196 72984 79562 85148 90928 97312 119343 127722 136392 145968 159124 170296 181856 194624 238686 255444 272784 291936 318248 340592 363712 477372 510888 545568 583872 636496 681184 954744 1021776 1091136 1272992 1362368 1909488 2043552 2545984 3818976 4087104 7637952 17282003 34564006 51846009 69128012 103692018 120974021 138256024 207384036 241948042 276512048 362922063 414768072 483896084 553024096 725844126 829536144 967792168 1106048192 1451688252 1659072288 1935584336 2903376504 3318144576 3871168672 5806753008 7742337344 11613506016 23227012032