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2221441425 = 3252717163509
BaseRepresentation
bin1000010001101000…
…1000000110010001
312201211000220202100
42010122020012101
514022142111200
61004233111013
7106022640420
oct20432100621
95654026670
102221441425
11a3aa44905
1251bb58469
132952caba8
1417105d2b7
15d0054d00
hex84688191

2221441425 has 144 divisors (see below), whose sum is σ = 4853796480. Its totient is φ = 948049920.

The previous prime is 2221441367. The next prime is 2221441429. The reversal of 2221441425 is 5241441222.

It is a happy number.

2221441425 is a `hidden beast` number, since 2 + 221 + 4 + 414 + 25 = 666.

It is not a de Polignac number, because 2221441425 - 29 = 2221440913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2221441429) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4364071 + ... + 4364579.

It is an arithmetic number, because the mean of its divisors is an integer number (33706920).

Almost surely, 22221441425 is an apocalyptic number.

2221441425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2221441425 is an abundant number, since it is smaller than the sum of its proper divisors (2632355055).

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

2221441425 is a wasteful number, since it uses less digits than its factorization.

2221441425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 704 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 2221441425 is about 47132.1697463633. The cubic root of 2221441425 is about 1304.8030265971.

Adding to 2221441425 its reverse (5241441222), we get a palindrome (7462882647).

The spelling of 2221441425 in words is "two billion, two hundred twenty-one million, four hundred forty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 51 63 75 85 105 119 153 163 175 225 255 315 357 425 489 509 525 595 765 815 1071 1141 1275 1467 1527 1575 1785 2445 2545 2771 2975 3423 3563 3825 4075 4581 5355 5705 7335 7635 8313 8653 8925 10269 10689 12225 12725 13855 17115 17815 19397 22905 24939 25959 26775 28525 32067 36675 38175 41565 43265 51345 53445 58191 60571 69275 77877 82967 85575 89075 96985 114525 124695 129795 160335 174573 181713 207825 216325 248901 256725 267225 290955 302855 389385 414835 484925 545139 580769 623475 648975 746703 801675 872865 908565 1244505 1410439 1454775 1514275 1742307 1946925 2074175 2725695 2903845 3733515 4231317 4364325 4542825 5226921 6222525 7052195 8711535 9873073 12693951 13628475 14519225 18667575 21156585 26134605 29619219 35260975 43557675 49365365 63469755 88857657 105782925 130673025 148096095 246826825 317348775 444288285 740480475 2221441425