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22401003120 = 243593337513
BaseRepresentation
bin10100110111001101…
…000010111001110000
32010211011102212100020
4110313031002321300
5331334124044440
614142455123440
71422055245666
oct246715027160
963734385306
1022401003120
119555867221
124412073580
13215cc55042
141127126c36
158b193e3d0
hex537342e70

22401003120 has 40 divisors (see below), whose sum is σ = 69443110416. Its totient is φ = 5973600768.

The previous prime is 22401003041. The next prime is 22401003143. The reversal of 22401003120 is 2130010422.

It is a tau number, because it is divible by the number of its divisors (40).

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 22401003120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46668517 + ... + 46668996.

Almost surely, 222401003120 is an apocalyptic number.

22401003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22401003120 is an abundant number, since it is smaller than the sum of its proper divisors (47042107296).

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

22401003120 is a wasteful number, since it uses less digits than its factorization.

22401003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93337529 (or 93337523 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22401003120 its reverse (2130010422), we get a palindrome (24531013542).

The spelling of 22401003120 in words is "twenty-two billion, four hundred one 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 93337513 186675026 280012539 373350052 466687565 560025078 746700104 933375130 1120050156 1400062695 1493400208 1866750260 2240100312 2800125390 3733500520 4480200624 5600250780 7467001040 11200501560 22401003120