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144423200 = 2552732473
BaseRepresentation
bin10001001101110…
…11100100100000
3101001202110101102
420212323210200
5243433020300
622155253532
73402401615
oct1046734440
9331673342
10144423200
1174583319
124044a2a8
1323bc871c
141527650c
15ca2c0d5
hex89bb920

144423200 has 72 divisors (see below), whose sum is σ = 357547428. Its totient is φ = 56954880.

The previous prime is 144423179. The next prime is 144423221. The reversal of 144423200 is 2324441.

It is an interprime number because it is at equal distance from previous prime (144423179) and next prime (144423221).

It can be written as a sum of positive squares in 6 ways, for example, as 75134224 + 69288976 = 8668^2 + 8324^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57164 + ... + 59636.

Almost surely, 2144423200 is an apocalyptic number.

144423200 is a gapful number since it is divisible by the number (10) 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 144423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178773714).

144423200 is an abundant number, since it is smaller than the sum of its proper divisors (213124228).

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

144423200 is a wasteful number, since it uses less digits than its factorization.

144423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 144423200 is about 12017.6203967341. The cubic root of 144423200 is about 524.6612478341.

Adding to 144423200 its reverse (2324441), we get a palindrome (146747641).

The spelling of 144423200 in words is "one hundred forty-four million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 146 160 200 292 365 400 584 730 800 1168 1460 1825 2336 2473 2920 3650 4946 5840 7300 9892 11680 12365 14600 19784 24730 29200 39568 49460 58400 61825 79136 98920 123650 180529 197840 247300 361058 395680 494600 722116 902645 989200 1444232 1805290 1978400 2888464 3610580 4513225 5776928 7221160 9026450 14442320 18052900 28884640 36105800 72211600 144423200