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22401440120 = 2351674637243
BaseRepresentation
bin10100110111001110…
…101101100101111000
32010211012021001210102
4110313032231211320
5331334232040440
614142512334532
71422062046023
oct246716554570
963735231712
1022401440120
119556035584
124412244448
132160078c17
1411271dc1ba
158b19c8b15
hex5373ad978

22401440120 has 64 divisors (see below), whose sum is σ = 50821585920. Its totient is φ = 8886455424.

The previous prime is 22401440077. The next prime is 22401440143. The reversal of 22401440120 is 2104410422.

It is a super-2 number, since 2×224014401202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22401440092 and 22401440101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3089219 + ... + 3096461.

It is an arithmetic number, because the mean of its divisors is an integer number (794087280).

Almost surely, 222401440120 is an apocalyptic number.

22401440120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22401440120 is an abundant number, since it is smaller than the sum of its proper divisors (28420145800).

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

22401440120 is a wasteful number, since it uses less digits than its factorization.

22401440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7884 (or 7880 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22401440120 its reverse (2104410422), we get a palindrome (24505850542).

The spelling of 22401440120 in words is "twenty-two billion, four hundred one million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 167 334 463 668 835 926 1336 1670 1852 2315 3340 3704 4630 6680 7243 9260 14486 18520 28972 36215 57944 72430 77321 144860 154642 289720 309284 386605 618568 773210 1209581 1546420 2419162 3092840 3353509 4838324 6047905 6707018 9676648 12095810 13414036 16767545 24191620 26828072 33535090 48383240 67070180 134140360 560036003 1120072006 2240144012 2800180015 4480288024 5600360030 11200720060 22401440120