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22154221420 = 2256619671733
BaseRepresentation
bin10100101000011111…
…101001011101101100
32010011222002001111021
4110220133221131230
5330332440041140
614102201503524
71413000526552
oct245037513554
963158061437
1022154221420
119439531501
1243634a1ba4
132120a9b476
141102447bd2
15899e43b4a
hex5287e976c

22154221420 has 48 divisors (see below), whose sum is σ = 46669347648. Its totient is φ = 8834031360.

The previous prime is 22154221409. The next prime is 22154221423. The reversal of 22154221420 is 2412245122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22154221423) 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, 12782874 + ... + 12784606.

It is an arithmetic number, because the mean of its divisors is an integer number (972278076).

Almost surely, 222154221420 is an apocalyptic number.

22154221420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22154221420 is an abundant number, since it is smaller than the sum of its proper divisors (24515126228).

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

22154221420 is a wasteful number, since it uses less digits than its factorization.

22154221420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 22154221420 its reverse (2412245122), we get a palindrome (24566466542).

The spelling of 22154221420 in words is "twenty-two billion, one hundred fifty-four million, two hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 661 967 1322 1733 1934 2644 3305 3466 3868 4835 6610 6932 8665 9670 13220 17330 19340 34660 639187 1145513 1278374 1675811 2291026 2556748 3195935 3351622 4582052 5727565 6391870 6703244 8379055 11455130 12783740 16758110 22910260 33516220 1107711071 2215422142 4430844284 5538555355 11077110710 22154221420