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132245244 = 223317219223
BaseRepresentation
bin1111110000111…
…10011011111100
3100012211202101000
413320132123330
5232323321434
621042250300
73164031435
oct770363374
9305752330
10132245244
116871589a
1238356990
1321523731
14137c648c
15b923b99
hex7e1e6fc

132245244 has 144 divisors (see below), whose sum is σ = 385100800. Its totient is φ = 39128832.

The previous prime is 132245237. The next prime is 132245279. The reversal of 132245244 is 442542231.

132245244 is a `hidden beast` number, since 132 + 2 + 4 + 524 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592917 + ... + 593139.

Almost surely, 2132245244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132245244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192550400).

132245244 is an abundant number, since it is smaller than the sum of its proper divisors (252855556).

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

132245244 is a wasteful number, since it uses less digits than its factorization.

132245244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 264 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 132245244 is about 11499.7932155322. The cubic root of 132245244 is about 509.4794689011.

Adding to 132245244 its reverse (442542231), we get a palindrome (574787475).

The spelling of 132245244 in words is "one hundred thirty-two million, two hundred forty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 102 108 114 153 171 204 223 228 289 306 323 342 446 459 513 578 612 646 669 684 867 892 918 969 1026 1156 1292 1338 1734 1836 1938 2007 2052 2601 2676 2907 3468 3791 3876 4014 4237 5202 5491 5814 6021 7582 7803 8028 8474 8721 10404 10982 11373 11628 12042 12711 15164 15606 16473 16948 17442 21964 22746 24084 25422 31212 32946 34119 34884 38133 45492 49419 50844 64447 65892 68238 72029 76266 98838 102357 114399 128894 136476 144058 148257 152532 193341 197676 204714 216087 228798 257788 288116 296514 386682 409428 432174 457596 580023 593028 648261 773364 864348 1160046 1224493 1296522 1740069 1944783 2320092 2448986 2593044 3480138 3673479 3889566 4897972 6960276 7346958 7779132 11020437 14693916 22040874 33061311 44081748 66122622 132245244