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132223320 = 23335235323
BaseRepresentation
bin1111110000110…
…01000101011000
3100012210122022000
413320121011120
5232322121240
621042001000
73163610505
oct770310530
9305718260
10132223320
1168700379
1238346160
1321516768
14137bc4ac
15b91c430
hex7e19158

132223320 has 128 divisors (see below), whose sum is σ = 459993600. Its totient is φ = 33720192.

The previous prime is 132223283. The next prime is 132223363. The reversal of 132223320 is 23322231.

It is a happy number.

132223320 is a `hidden beast` number, since 1 + 322 + 23 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132223293 and 132223302.

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 31 ways as a sum of consecutive naturals, for example, 22179 + ... + 27501.

It is an arithmetic number, because the mean of its divisors is an integer number (3593700).

Almost surely, 2132223320 is an apocalyptic number.

132223320 is a gapful number since it is divisible by the number (10) 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 132223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229996800).

132223320 is an abundant number, since it is smaller than the sum of its proper divisors (327770280).

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

132223320 is a wasteful number, since it uses less digits than its factorization.

132223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5366 (or 5356 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 132223320 is about 11498.8399414898. The cubic root of 132223320 is about 509.4513130172.

Adding to 132223320 its reverse (23322231), we get a palindrome (155545551).

It can be divided in two parts, 1322 and 23320, that added together give a palindrome (24642).

The spelling of 132223320 in words is "one hundred thirty-two million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 828 920 1035 1080 1242 1380 1656 2070 2484 2760 3105 4140 4968 5323 6210 8280 10646 12420 15969 21292 24840 26615 31938 42584 47907 53230 63876 79845 95814 106460 122429 127752 143721 159690 191628 212920 239535 244858 287442 319380 367287 383256 479070 489716 574884 612145 638760 718605 734574 958140 979432 1101861 1149768 1224290 1437210 1469148 1836435 1916280 2203722 2448580 2874420 2938296 3305583 3672870 4407444 4897160 5509305 5748840 6611166 7345740 8814888 11018610 13222332 14691480 16527915 22037220 26444664 33055830 44074440 66111660 132223320