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221222122420 = 225133169268493
BaseRepresentation
bin1100111000000111011…
…1011011001110110100
3210011000100110012112111
43032001313123032310
512111030330404140
6245343353500404
721661043005015
oct3160167331664
9704010405474
10221222122420
1185902136952
1236a5aa11704
1317b26c65770
14a9c881500c
155b4b64a7ea
hex3381ddb3b4

221222122420 has 48 divisors (see below), whose sum is σ = 500462076240. Its totient is φ = 81655934976.

The previous prime is 221222122369. The next prime is 221222122423. The reversal of 221222122420 is 24221222122.

It can be written as a sum of positive squares in 8 ways, for example, as 16806011044 + 204416111376 = 129638^2 + 452124^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221222122391 and 221222122400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221222122423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689694 + ... + 958186.

It is an arithmetic number, because the mean of its divisors is an integer number (10426293255).

Almost surely, 2221222122420 is an apocalyptic number.

221222122420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221222122420 is an abundant number, since it is smaller than the sum of its proper divisors (279239953820).

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

221222122420 is a wasteful number, since it uses less digits than its factorization.

221222122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271684 (or 271682 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 221222122420 its reverse (24221222122), we get a palindrome (245443344542).

The spelling of 221222122420 in words is "two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 3169 6338 12676 15845 31690 41197 63380 82394 164788 205985 268493 411970 536986 823940 1073972 1342465 2684930 3490409 5369860 6980818 13961636 17452045 34904090 69808180 850854317 1701708634 3403417268 4254271585 8508543170 11061106121 17017086340 22122212242 44244424484 55305530605 110611061210 221222122420