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22225205140 = 22537103129131
BaseRepresentation
bin10100101100101110…
…011011011110010100
32010100220122101211221
4110230232123132110
5331004123031030
614113215140124
71414522061305
oct245456333624
963326571757
1022225205140
119475604636
124383214644
1321326c2978
14110ba447ac
158a12b5e7a
hex52cb9b794

22225205140 has 48 divisors (see below), whose sum is σ = 47982501504. Its totient is φ = 8641123200.

The previous prime is 22225205137. The next prime is 22225205147. The reversal of 22225205140 is 4150252222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22225205147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 748375 + ... + 777505.

It is an arithmetic number, because the mean of its divisors is an integer number (999635448).

Almost surely, 222225205140 is an apocalyptic number.

22225205140 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 22225205140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23991250752).

22225205140 is an abundant number, since it is smaller than the sum of its proper divisors (25757296364).

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

22225205140 is a wasteful number, since it uses less digits than its factorization.

22225205140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30208 (or 30206 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 22225205140 its reverse (4150252222), we get a palindrome (26375457362).

The spelling of 22225205140 in words is "twenty-two billion, two hundred twenty-five million, two hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1031 2062 4124 5155 10310 20620 29131 38147 58262 76294 116524 145655 152588 190735 291310 381470 582620 762940 1077847 2155694 4311388 5389235 10778470 21556940 30034061 60068122 120136244 150170305 300340610 600681220 1111260257 2222520514 4445041028 5556301285 11112602570 22225205140