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145223232 = 26371121947
BaseRepresentation
bin10001010011111…
…10111001000000
3101010021002211020
420221332321000
5244134120412
622224345440
73412243230
oct1051767100
9333232736
10145223232
1174a7a400
1240775280
132411890b
1415403cc0
15cb3918c
hex8a7ee40

145223232 has 336 divisors, whose sum is σ = 518891520. Its totient is φ = 34974720.

The previous prime is 145223203. The next prime is 145223257. The reversal of 145223232 is 232322541.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1452232322 = 42179574225051648, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3089833 + ... + 3089879.

It is an arithmetic number, because the mean of its divisors is an integer number (1544320).

Almost surely, 2145223232 is an apocalyptic number.

145223232 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 145223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259445760).

145223232 is an abundant number, since it is smaller than the sum of its proper divisors (373668288).

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

145223232 is a wasteful number, since it uses less digits than its factorization.

145223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 145223232 is about 12050.8602182583. The cubic root of 145223232 is about 525.6282510663.

Adding to 145223232 its reverse (232322541), we get a palindrome (377545773).

It can be divided in two parts, 1452 and 23232, that multiplied together give a square (33732864 = 58082).

The spelling of 145223232 in words is "one hundred forty-five million, two hundred twenty-three thousand, two hundred thirty-two".