Search a number
-
+
145225444 = 227133741263
BaseRepresentation
bin10001010011111…
…11011011100100
3101010021012212011
420221333123210
5244134203234
622224404004
73412252540
oct1051773344
9333235764
10145225444
1174a81031
1240776604
1324119920
1415404a20
15cb39b64
hex8a7f6e4

145225444 has 96 divisors (see below), whose sum is σ = 330333696. Its totient is φ = 54328320.

The previous prime is 145225439. The next prime is 145225541. The reversal of 145225444 is 444522541.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 552057 + ... + 552319.

It is an arithmetic number, because the mean of its divisors is an integer number (3440976).

Almost surely, 2145225444 is an apocalyptic number.

145225444 is a gapful number since it is divisible by the number (14) 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 145225444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165166848).

145225444 is an abundant number, since it is smaller than the sum of its proper divisors (185108252).

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

145225444 is a wasteful number, since it uses less digits than its factorization.

145225444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its digits is 25600, while the sum is 31.

The square root of 145225444 is about 12050.9519955894. The cubic root of 145225444 is about 525.6309197940.

Adding to 145225444 its reverse (444522541), we get a palindrome (589747985).

It can be divided in two parts, 1452 and 25444, that added together give a square (26896 = 1642).

The spelling of 145225444 in words is "one hundred forty-five million, two hundred twenty-five thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 37 41 52 74 82 91 148 164 182 259 263 287 364 481 518 526 533 574 962 1036 1052 1066 1148 1517 1841 1924 2132 3034 3367 3419 3682 3731 6068 6734 6838 7364 7462 9731 10619 10783 13468 13676 14924 19462 19721 21238 21566 23933 38924 39442 42476 43132 47866 68117 75481 78884 95732 126503 136234 138047 140179 150962 253006 272468 276094 280358 301924 398971 506012 552188 560716 797942 885521 981253 1595884 1771042 1962506 2792797 3542084 3925012 5186623 5585594 10373246 11171188 20746492 36306361 72612722 145225444