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2150322144 = 253151148339
BaseRepresentation
bin1000000000101011…
…0100111111100000
312112212012200102220
42000022310333200
513400440302034
6553212511040
7104200302525
oct20012647740
95485180386
102150322144
11a03889943
1250017b480
13283659a89
1416582914c
15c8ba7749
hex802b4fe0

2150322144 has 48 divisors (see below), whose sum is σ = 5682015360. Its totient is φ = 712022400.

The previous prime is 2150322143. The next prime is 2150322157. The reversal of 2150322144 is 4412230512.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2150322143) 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 7 ways as a sum of consecutive naturals, for example, 59674 + ... + 88665.

It is an arithmetic number, because the mean of its divisors is an integer number (118375320).

Almost surely, 22150322144 is an apocalyptic number.

2150322144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2150322144 is an abundant number, since it is smaller than the sum of its proper divisors (3531693216).

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

2150322144 is a wasteful number, since it uses less digits than its factorization.

2150322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148503 (or 148495 counting only the distinct ones).

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

The square root of 2150322144 is about 46371.5661154548. The cubic root of 2150322144 is about 1290.7273393622.

Adding to 2150322144 its reverse (4412230512), we get a palindrome (6562552656).

The spelling of 2150322144 in words is "two billion, one hundred fifty million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 906 1208 1812 2416 3624 4832 7248 14496 148339 296678 445017 593356 890034 1186712 1780068 2373424 3560136 4746848 7120272 14240544 22399189 44798378 67197567 89596756 134395134 179193512 268790268 358387024 537580536 716774048 1075161072 2150322144