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144310212 = 223217376373
BaseRepresentation
bin10001001100111…
…11111111000100
3101001112201101200
420212133333010
5243420411322
622153022500
73401421324
oct1046377704
9331481350
10144310212
1174506442
12403b4a30
1323b89177
1415247284
15ca088ac
hex899ffc4

144310212 has 72 divisors (see below), whose sum is σ = 396743256. Its totient is φ = 44043264.

The previous prime is 144310171. The next prime is 144310219. The reversal of 144310212 is 212013441.

144310212 is a `hidden beast` number, since 1 + 443 + 10 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94945536 + 49364676 = 9744^2 + 7026^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (144310219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19458 + ... + 25830.

It is an arithmetic number, because the mean of its divisors is an integer number (5510323).

Almost surely, 2144310212 is an apocalyptic number.

144310212 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 144310212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198371628).

144310212 is an abundant number, since it is smaller than the sum of its proper divisors (252433044).

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

144310212 is a wasteful number, since it uses less digits than its factorization.

144310212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6437 (or 6432 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 144310212 is about 12012.9185462984. The cubic root of 144310212 is about 524.5243910343.

Adding to 144310212 its reverse (212013441), we get a palindrome (356323653).

The spelling of 144310212 in words is "one hundred forty-four million, three hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 306 333 444 612 629 666 1258 1332 1887 2516 3774 5661 6373 7548 11322 12746 19119 22644 25492 38238 57357 76476 108341 114714 216682 229428 235801 325023 433364 471602 650046 707403 943204 975069 1300092 1414806 1950138 2122209 2829612 3900276 4008617 4244418 8017234 8488836 12025851 16034468 24051702 36077553 48103404 72155106 144310212