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2422213100 = 2252193134073
BaseRepresentation
bin1001000001100000…
…0000100111101100
320020210211011201022
42100120000213230
514430041304400
61040204233312
7114011320526
oct22030004754
96223734638
102422213100
11103330460a
1257723b838
132c7a954b8
1418d9a2a16
15e29b2b85
hex906009ec

2422213100 has 72 divisors (see below), whose sum is σ = 5551884240. Its totient is φ = 914734080.

The previous prime is 2422213097. The next prime is 2422213109. The reversal of 2422213100 is 13122242.

It is a super-2 number, since 2×24222131002 = 11734232603623220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2422213109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 592664 + ... + 596736.

Almost surely, 22422213100 is an apocalyptic number.

2422213100 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 2422213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775942120).

2422213100 is an abundant number, since it is smaller than the sum of its proper divisors (3129671140).

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

2422213100 is a wasteful number, since it uses less digits than its factorization.

2422213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4412 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2422213100 is about 49215.9841921301. The cubic root of 2422213100 is about 1342.9838275899.

Adding to 2422213100 its reverse (13122242), we get a palindrome (2435335342).

The spelling of 2422213100 in words is "two billion, four hundred twenty-two million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 313 380 475 626 950 1252 1565 1900 3130 4073 5947 6260 7825 8146 11894 15650 16292 20365 23788 29735 31300 40730 59470 77387 81460 101825 118940 148675 154774 203650 297350 309548 386935 407300 594700 773870 1274849 1547740 1934675 2549698 3869350 5099396 6374245 7738700 12748490 24222131 25496980 31871225 48444262 63742450 96888524 121110655 127484900 242221310 484442620 605553275 1211106550 2422213100