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23320023000 = 2335356313807
BaseRepresentation
bin10101101101111110…
…110100111111011000
32020012012201220121120
4111231332310333120
5340224411214000
614414005005240
71453614632151
oct255576647730
966165656546
1023320023000
1199875aa48a
1246299b3820
13227847a9a1
1411b31d4928
159174766a0
hex56dfb4fd8

23320023000 has 128 divisors (see below), whose sum is σ = 72892984320. Its totient is φ = 6207177600.

The previous prime is 23320022963. The next prime is 23320023019. The reversal of 23320023000 is 32002332.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1682097 + ... + 1695903.

It is an arithmetic number, because the mean of its divisors is an integer number (569476440).

Almost surely, 223320023000 is an apocalyptic number.

23320023000 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 23320023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36446492160).

23320023000 is an abundant number, since it is smaller than the sum of its proper divisors (49572961320).

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

23320023000 is a wasteful number, since it uses less digits than its factorization.

23320023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14394 (or 14380 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 23320023000 its reverse (32002332), we get a palindrome (23352025332).

The spelling of 23320023000 in words is "twenty-three billion, three hundred twenty million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 563 600 750 1000 1126 1500 1689 2252 2815 3000 3378 4504 5630 6756 8445 11260 13512 13807 14075 16890 22520 27614 28150 33780 41421 42225 55228 56300 67560 69035 70375 82842 84450 110456 112600 138070 140750 165684 168900 207105 211125 276140 281500 331368 337800 345175 414210 422250 552280 563000 690350 828420 844500 1035525 1380700 1656840 1689000 1725875 2071050 2761400 3451750 4142100 5177625 6903500 7773341 8284200 10355250 13807000 15546682 20710500 23320023 31093364 38866705 41421000 46640046 62186728 77733410 93280092 116600115 155466820 186560184 194333525 233200230 310933640 388667050 466400460 583000575 777334100 932800920 971667625 1166001150 1554668200 1943335250 2332002300 2915002875 3886670500 4664004600 5830005750 7773341000 11660011500 23320023000