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23220003120 = 2435383252611
BaseRepresentation
bin10101101000000001…
…010010000100110000
32012221020112101010120
4111220001102010300
5340023310044440
614400033130240
71451261525046
oct255001220460
965836471116
1023220003120
1199360a5026
1246003b9980
13226082b122
1411a3bda396
1590d7badd0
hex568052130

23220003120 has 80 divisors (see below), whose sum is σ = 72170237952. Its totient is φ = 6175809280.

The previous prime is 23220003049. The next prime is 23220003173. The reversal of 23220003120 is 2130002232.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 23220003120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34386 + ... + 218225.

Almost surely, 223220003120 is an apocalyptic number.

23220003120 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 23220003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36085118976).

23220003120 is an abundant number, since it is smaller than the sum of its proper divisors (48950234832).

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

23220003120 is a wasteful number, since it uses less digits than its factorization.

23220003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253010 (or 253004 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 23220003120 its reverse (2130002232), we get a palindrome (25350005352).

The spelling of 23220003120 in words is "twenty-three billion, two hundred twenty million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 383 766 1149 1532 1915 2298 3064 3830 4596 5745 6128 7660 9192 11490 15320 18384 22980 30640 45960 91920 252611 505222 757833 1010444 1263055 1515666 2020888 2526110 3031332 3789165 4041776 5052220 6062664 7578330 10104440 12125328 15156660 20208880 30313320 60626640 96750013 193500026 290250039 387000052 483750065 580500078 774000104 967500130 1161000156 1451250195 1548000208 1935000260 2322000312 2902500390 3870000520 4644000624 5805000780 7740001040 11610001560 23220003120