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2145443100 = 2235233721221
BaseRepresentation
bin111111111100000…
…1101110100011100
312112112000210122120
41333320031310130
513343213134400
6552520142540
7104110652103
oct17770156434
95475023576
102145443100
11a01057179
124ba607a50
1328263c078
14164d1903a
15c8541ca0
hex7fe0dd1c

2145443100 has 72 divisors (see below), whose sum is σ = 6226195248. Its totient is φ = 570393600.

The previous prime is 2145443089. The next prime is 2145443101. The reversal of 2145443100 is 13445412.

It is a super-2 number, since 2×21454431002 = 9205852190675220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145443101) 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 23 ways as a sum of consecutive naturals, for example, 90490 + ... + 111710.

It is an arithmetic number, because the mean of its divisors is an integer number (86474934).

Almost surely, 22145443100 is an apocalyptic number.

2145443100 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 2145443100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113097624).

2145443100 is an abundant number, since it is smaller than the sum of its proper divisors (4080752148).

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

2145443100 is a wasteful number, since it uses less digits than its factorization.

2145443100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21575 (or 21568 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2145443100 is about 46318.9280964057. The cubic root of 2145443100 is about 1289.7503873745.

Adding to 2145443100 its reverse (13445412), we get a palindrome (2158888512).

The spelling of 2145443100 in words is "two billion, one hundred forty-five million, four hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 337 674 1011 1348 1685 2022 3370 4044 5055 6740 8425 10110 16850 20220 21221 25275 33700 42442 50550 63663 84884 101100 106105 127326 212210 254652 318315 424420 530525 636630 1061050 1273260 1591575 2122100 3183150 6366300 7151477 14302954 21454431 28605908 35757385 42908862 71514770 85817724 107272155 143029540 178786925 214544310 357573850 429088620 536360775 715147700 1072721550 2145443100