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23188967440 = 2459715671907
BaseRepresentation
bin10101100110001010…
…111001000000010000
32012212002010121011221
4111212022321000100
5334442333424230
614353004014424
71450433654032
oct254612710020
965762117157
1023188967440
11991a627501
1245b1b31414
132257282912
14119da3bc52
1590abda27a
hex5662b9010

23188967440 has 80 divisors (see below), whose sum is σ = 54533509632. Its totient is φ = 9169293312.

The previous prime is 23188967429. The next prime is 23188967441. The reversal of 23188967440 is 4476988132.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (23188967441) 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, 12158967 + ... + 12160873.

Almost surely, 223188967440 is an apocalyptic number.

23188967440 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 23188967440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27266754816).

23188967440 is an abundant number, since it is smaller than the sum of its proper divisors (31344542192).

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

23188967440 is a wasteful number, since it uses less digits than its factorization.

23188967440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 23188967440 in words is "twenty-three billion, one hundred eighty-eight million, nine hundred sixty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1567 1907 1940 3134 3814 3880 6268 7628 7760 7835 9535 12536 15256 15670 19070 25072 30512 31340 38140 62680 76280 125360 151999 152560 184979 303998 369958 607996 739916 759995 924895 1215992 1479832 1519990 1849790 2431984 2959664 2988269 3039980 3699580 5976538 6079960 7399160 11953076 12159920 14798320 14941345 23906152 29882690 47812304 59765380 119530760 239061520 289862093 579724186 1159448372 1449310465 2318896744 2898620930 4637793488 5797241860 11594483720 23188967440