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23220133020 = 22325728365119
BaseRepresentation
bin10101101000000001…
…110001110010011100
32012221020202222022200
4111220001301302130
5340023323224040
614400040011500
71451262605550
oct255001616234
965836688280
1023220133020
119936183687
124600460b90
1322608752a6
1411a3c31860
1590d7e4630
hex568071c9c

23220133020 has 144 divisors (see below), whose sum is σ = 80782141440. Its totient is φ = 5288623488.

The previous prime is 23220133003. The next prime is 23220133021. The reversal of 23220133020 is 2033102232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23220132984 and 23220133002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23220133021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324021 + ... + 389139.

Almost surely, 223220133020 is an apocalyptic number.

23220133020 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 23220133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40391070720).

23220133020 is an abundant number, since it is smaller than the sum of its proper divisors (57562008420).

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

23220133020 is a wasteful number, since it uses less digits than its factorization.

23220133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65424 (or 65419 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23220133020 its reverse (2033102232), we get a palindrome (25253235252).

The spelling of 23220133020 in words is "twenty-three billion, two hundred twenty million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 283 315 420 566 630 849 1132 1260 1415 1698 1981 2547 2830 3396 3962 4245 5094 5660 5943 7924 8490 9905 10188 11886 12735 16980 17829 19810 23772 25470 29715 35658 39620 50940 59430 65119 71316 89145 118860 130238 178290 195357 260476 325595 356580 390714 455833 586071 651190 781428 911666 976785 1172142 1302380 1367499 1823332 1953570 2279165 2344284 2734998 2930355 3907140 4102497 4558330 5469996 5860710 6837495 8204994 9116660 11721420 13674990 16409988 18428677 20512485 27349980 36857354 41024970 55286031 73714708 82049940 92143385 110572062 129000739 165858093 184286770 221144124 258001478 276430155 331716186 368573540 387002217 516002956 552860310 645003695 663432372 774004434 829290465 1105720620 1161006651 1290007390 1548008868 1658580930 1935011085 2322013302 2580014780 3317161860 3870022170 4644026604 5805033255 7740044340 11610066510 23220133020