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132022000 = 24531117353
BaseRepresentation
bin1111101111001…
…11111011110000
3100012102102010201
413313213323300
5232244201000
621033404544
73162111535
oct767477360
9305372121
10132022000
11685830a0
1238269754
1321475c36
1413768d8c
15b8cc96a
hex7de7ef0

132022000 has 160 divisors (see below), whose sum is σ = 369779904. Its totient is φ = 45056000.

The previous prime is 132021979. The next prime is 132022003. The reversal of 132022000 is 220231.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132022003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373824 + ... + 374176.

Almost surely, 2132022000 is an apocalyptic number.

132022000 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 132022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184889952).

132022000 is an abundant number, since it is smaller than the sum of its proper divisors (237757904).

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

132022000 is a wasteful number, since it uses less digits than its factorization.

132022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 132022000 is about 11490.0826802943. The cubic root of 132022000 is about 509.1926223022.

Adding to 132022000 its reverse (220231), we get a palindrome (132242231).

The spelling of 132022000 in words is "one hundred thirty-two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 80 85 88 100 110 125 136 170 176 187 200 220 250 272 275 340 353 374 400 425 440 500 550 680 706 748 850 880 935 1000 1100 1360 1375 1412 1496 1700 1765 1870 2000 2125 2200 2750 2824 2992 3400 3530 3740 3883 4250 4400 4675 5500 5648 6001 6800 7060 7480 7766 8500 8825 9350 11000 12002 14120 14960 15532 17000 17650 18700 19415 22000 23375 24004 28240 30005 31064 34000 35300 37400 38830 44125 46750 48008 60010 62128 66011 70600 74800 77660 88250 93500 96016 97075 120020 132022 141200 150025 155320 176500 187000 194150 240040 264044 300050 310640 330055 353000 374000 388300 480080 485375 528088 600100 660110 706000 750125 776600 970750 1056176 1200200 1320220 1500250 1553200 1650275 1941500 2400400 2640440 3000500 3300550 3883000 5280880 6001000 6601100 7766000 8251375 12002000 13202200 16502750 26404400 33005500 66011000 132022000