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2330021144 = 2311412712383
BaseRepresentation
bin1000101011100001…
…0100110100011000
320000101100100010102
42022320110310120
514232441134034
61023112234532
7111511565363
oct21270246430
96011310112
102330021144
11a96266410
1255039ba48
132b1956949
141816450da
15d985197e
hex8ae14d18

2330021144 has 64 divisors (see below), whose sum is σ = 4902266880. Its totient is φ = 1029024000.

The previous prime is 2330021131. The next prime is 2330021147. The reversal of 2330021144 is 4411200332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330021147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976577 + ... + 978959.

It is an arithmetic number, because the mean of its divisors is an integer number (76597920).

Almost surely, 22330021144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2330021144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451133440).

2330021144 is an abundant number, since it is smaller than the sum of its proper divisors (2572245736).

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

2330021144 is a wasteful number, since it uses less digits than its factorization.

2330021144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2330021144 is about 48270.2925617817. The cubic root of 2330021144 is about 1325.7245154010.

Adding to 2330021144 its reverse (4411200332), we get a palindrome (6741221476).

It can be divided in two parts, 23300 and 21144, that added together give a palindrome (44444).

The spelling of 2330021144 in words is "two billion, three hundred thirty million, twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 271 328 451 542 902 1084 1804 2168 2383 2981 3608 4766 5962 9532 11111 11924 19064 22222 23848 26213 44444 52426 88888 97703 104852 122221 195406 209704 244442 390812 488884 645793 781624 977768 1074733 1291586 2149466 2583172 4298932 5166344 7103723 8597864 14207446 26477513 28414892 52955026 56829784 105910052 211820104 291252643 582505286 1165010572 2330021144