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145633332 = 2231323371097
BaseRepresentation
bin10001010111000…
…11000000110100
3101011000221101010
420223203000310
5244240231312
622241232220
73415601655
oct1053430064
9334027333
10145633332
117522a529
1240932670
1324230490
14154ad52c
15cbba93c
hex8ae3034

145633332 has 96 divisors (see below), whose sum is σ = 392539392. Its totient is φ = 41665536.

The previous prime is 145633297. The next prime is 145633333. The reversal of 145633332 is 233336541.

It is a self number, because there is not a number n which added to its sum of digits gives 145633332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145633333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132208 + ... + 133304.

It is an arithmetic number, because the mean of its divisors is an integer number (4088952).

Almost surely, 2145633332 is an apocalyptic number.

145633332 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 145633332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196269696).

145633332 is an abundant number, since it is smaller than the sum of its proper divisors (246906060).

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

145633332 is a wasteful number, since it uses less digits than its factorization.

145633332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1175 counting only the distinct ones).

The product of its digits is 19440, while the sum is 30.

The square root of 145633332 is about 12067.8636054606. The cubic root of 145633332 is about 526.1225648932.

Adding to 145633332 its reverse (233336541), we get a palindrome (378969873).

The spelling of 145633332 in words is "one hundred forty-five million, six hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 23 26 37 39 46 52 69 74 78 92 111 138 148 156 222 276 299 444 481 598 851 897 962 1097 1196 1443 1702 1794 1924 2194 2553 2886 3291 3404 3588 4388 5106 5772 6582 10212 11063 13164 14261 22126 25231 28522 33189 40589 42783 44252 50462 57044 66378 75693 81178 85566 100924 121767 132756 151386 162356 171132 243534 302772 328003 487068 527657 656006 933547 984009 1055314 1312012 1582971 1867094 1968018 2110628 2800641 3165942 3734188 3936036 5601282 6331884 11202564 12136111 24272222 36408333 48544444 72816666 145633332