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144922392 = 23333312027
BaseRepresentation
bin10001010001101…
…01011100011000
3101002200211011000
420220311130120
5244100004032
622214105000
73406551156
oct1050653430
9332624130
10144922392
117489437a
124064b160
13240419c4
14153663d6
15cac9e7c
hex8a35718

144922392 has 64 divisors (see below), whose sum is σ = 403977600. Its totient is φ = 48137760.

The previous prime is 144922391. The next prime is 144922411. The reversal of 144922392 is 293229441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144922391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70483 + ... + 72509.

It is an arithmetic number, because the mean of its divisors is an integer number (6312150).

Almost surely, 2144922392 is an apocalyptic number.

144922392 is a gapful number since it is divisible by the number (12) 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 144922392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201988800).

144922392 is an abundant number, since it is smaller than the sum of its proper divisors (259055208).

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

144922392 is a wasteful number, since it uses less digits than its factorization.

144922392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2363 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 144922392 is about 12038.3716506843. The cubic root of 144922392 is about 525.2650416837.

The spelling of 144922392 in words is "one hundred forty-four million, nine hundred twenty-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 331 662 993 1324 1986 2027 2648 2979 3972 4054 5958 6081 7944 8108 8937 11916 12162 16216 17874 18243 23832 24324 35748 36486 48648 54729 71496 72972 109458 145944 218916 437832 670937 1341874 2012811 2683748 4025622 5367496 6038433 8051244 12076866 16102488 18115299 24153732 36230598 48307464 72461196 144922392