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23240442000 = 2435323168409
BaseRepresentation
bin10101101001001111…
…010000000010010000
32012222122222210000010
4111221033100002100
5340044023121000
614402043154520
71451630332446
oct255117200220
965878883003
1023240442000
119946695066
124607215a40
132264b36239
1411a67dab96
159104a6d50
hex5693d0090

23240442000 has 160 divisors (see below), whose sum is σ = 78185352960. Its totient is φ = 5927961600.

The previous prime is 23240441971. The next prime is 23240442007. The reversal of 23240442000 is 24404232.

It is not an unprimeable number, because it can be changed into a prime (23240442007) 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 31 ways as a sum of consecutive naturals, for example, 53796 + ... + 222204.

It is an arithmetic number, because the mean of its divisors is an integer number (488658456).

Almost surely, 223240442000 is an apocalyptic number.

23240442000 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 23240442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39092676480).

23240442000 is an abundant number, since it is smaller than the sum of its proper divisors (54944910960).

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

23240442000 is a wasteful number, since it uses less digits than its factorization.

23240442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168458 (or 168442 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 23240442000 its reverse (24404232), we get a palindrome (23264846232).

The spelling of 23240442000 in words is "twenty-three billion, two hundred forty million, four hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 125 138 150 184 200 230 240 250 276 300 345 368 375 400 460 500 552 575 600 690 750 920 1000 1104 1150 1200 1380 1500 1725 1840 2000 2300 2760 2875 3000 3450 4600 5520 5750 6000 6900 8625 9200 11500 13800 17250 23000 27600 34500 46000 69000 138000 168409 336818 505227 673636 842045 1010454 1347272 1684090 2020908 2526135 2694544 3368180 3873407 4041816 4210225 5052270 6736360 7746814 8083632 8420450 10104540 11620221 12630675 13472720 15493628 16840900 19367035 20209080 21051125 23240442 25261350 30987256 33681800 38734070 40418160 42102250 46480884 50522700 58101105 61974512 63153375 67363600 77468140 84204500 92961768 96835175 101045400 116202210 126306750 154936280 168409000 185923536 193670350 202090800 232404420 252613500 290505525 309872560 336818000 387340700 464808840 484175875 505227000 581011050 774681400 929617680 968351750 1010454000 1162022100 1452527625 1549362800 1936703500 2324044200 2905055250 3873407000 4648088400 5810110500 7746814000 11620221000 23240442000