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2220403421440 = 28516310642271
BaseRepresentation
bin100000010011111010010…
…110110111000100000000
321212021020201202201220001
4200103322112313010000
5242334341233441230
64420012251125344
7316263444450541
oct40237226670400
97767221681801
102220403421440
11786738933556
122ba3b4743854
131314c99c9b89
147967a66c4c8
153cb5780a0ca
hex204fa5b7100

2220403421440 has 72 divisors (see below), whose sum is σ = 5351189776128. Its totient is φ = 882712442880.

The previous prime is 2220403421377. The next prime is 2220403421441. The reversal of 2220403421440 is 441243040222.

It is a junction number, because it is equal to n+sod(n) for n = 2220403421399 and 2220403421408.

It is not an unprimeable number, because it can be changed into a prime (2220403421441) by changing a digit.

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, 5112496 + ... + 5529775.

It is an arithmetic number, because the mean of its divisors is an integer number (74322080224).

Almost surely, 22220403421440 is an apocalyptic number.

2220403421440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220403421440 is an abundant number, since it is smaller than the sum of its proper divisors (3130786354688).

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

2220403421440 is a wasteful number, since it uses less digits than its factorization.

2220403421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10642455 (or 10642441 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 2220403421440 its reverse (441243040222), we get a palindrome (2661646461662).

The spelling of 2220403421440 in words is "two trillion, two hundred twenty billion, four hundred three million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 163 256 320 326 640 652 815 1280 1304 1630 2608 3260 5216 6520 10432 13040 20864 26080 41728 52160 104320 208640 10642271 21284542 42569084 53211355 85138168 106422710 170276336 212845420 340552672 425690840 681105344 851381680 1362210688 1702763360 1734690173 2724421376 3405526720 3469380346 6811053440 6938760692 8673450865 13622106880 13877521384 17346901730 27755042768 34693803460 55510085536 69387606920 111020171072 138775213840 222040342144 277550427680 444080684288 555100855360 1110201710720 2220403421440