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132223455 = 33571347229
BaseRepresentation
bin1111110000110…
…01000111011111
3100012210122111000
413320121013133
5232322122310
621042001343
73163611060
oct770310737
9305718430
10132223455
1168700491
1238346253
1321516840
14137bc567
15b91c4c0
hex7e191df

132223455 has 128 divisors (see below), whose sum is σ = 296755200. Its totient is φ = 54369792.

The previous prime is 132223423. The next prime is 132223471. The reversal of 132223455 is 554322231.

132223455 = T1659 + T1660 + ... + T1749.

It is a happy number.

It is not a de Polignac number, because 132223455 - 25 = 132223423 is a prime.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 577281 + ... + 577509.

It is an arithmetic number, because the mean of its divisors is an integer number (2318400).

Almost surely, 2132223455 is an apocalyptic number.

132223455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132223455 is an abundant number, since it is smaller than the sum of its proper divisors (164531745).

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

132223455 is a wasteful number, since it uses less digits than its factorization.

132223455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 132223455 is about 11498.8458116456. The cubic root of 132223455 is about 509.4514864004.

Adding to 132223455 its reverse (554322231), we get a palindrome (686545686).

The spelling of 132223455 in words is "one hundred thirty-two million, two hundred twenty-three thousand, four hundred fifty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 47 63 65 91 105 117 135 141 189 195 229 235 273 315 329 351 423 455 585 611 687 705 819 945 987 1145 1269 1365 1603 1645 1755 1833 2061 2115 2457 2961 2977 3055 3435 4095 4277 4809 4935 5499 6183 6345 8015 8883 8931 9165 10305 10763 12285 12831 14427 14805 14885 16497 20839 21385 24045 26793 27495 30915 32289 38493 43281 44415 44655 53815 62517 64155 72135 75341 80379 82485 96867 104195 115479 133965 139919 161445 187551 192465 216405 226023 290601 312585 376705 401895 419757 484335 562653 577395 678069 699595 937755 979433 1130115 1259271 1453005 2034207 2098785 2813265 2938299 3390345 3777813 4897165 6296355 8814897 10171035 14691495 18889065 26444691 44074485 132223455