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132223000 = 23537131453
BaseRepresentation
bin1111110000110…
…01000000011000
3100012210121212011
413320121000120
5232322114000
621041555304
73163606540
oct770310030
9305717764
10132223000
1168700108
1238345b34
1321516580
14137bc320
15b91c2ba
hex7e19018

132223000 has 128 divisors (see below), whose sum is σ = 381064320. Its totient is φ = 41817600.

The previous prime is 132222971. The next prime is 132223001. The reversal of 132223000 is 322231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132223001) 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, 90274 + ... + 91726.

It is an arithmetic number, because the mean of its divisors is an integer number (2977065).

Almost surely, 2132223000 is an apocalyptic number.

132223000 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 132223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190532160).

132223000 is an abundant number, since it is smaller than the sum of its proper divisors (248841320).

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

132223000 is a wasteful number, since it uses less digits than its factorization.

132223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 132223000 is about 11498.8260270342. The cubic root of 132223000 is about 509.4509020344.

Adding to 132223000 its reverse (322231), we get a palindrome (132545231).

The spelling of 132223000 in words is "one hundred thirty-two million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1453 1625 1750 1820 2275 2600 2906 3250 3500 3640 4550 5812 6500 7000 7265 9100 10171 11375 11624 13000 14530 18200 18889 20342 22750 29060 36325 37778 40684 45500 50855 58120 72650 75556 81368 91000 94445 101710 132223 145300 151112 181625 188890 203420 254275 264446 290600 363250 377780 406840 472225 508550 528892 661115 726500 755560 944450 1017100 1057784 1271375 1322230 1453000 1888900 2034200 2361125 2542750 2644460 3305575 3777800 4722250 5085500 5288920 6611150 9444500 10171000 13222300 16527875 18889000 26444600 33055750 66111500 132223000