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132223900 = 22521737643
BaseRepresentation
bin1111110000110…
…01001110011100
3100012210200002111
413320121032130
5232322131100
621042003404
73163612264
oct770311634
9305720074
10132223900
1168700856
1238346564
1321516ac3
14137bc7a4
15b91c6ba
hex7e1939c

132223900 has 36 divisors (see below), whose sum is σ = 288622152. Its totient is φ = 52576960.

The previous prime is 132223879. The next prime is 132223919. The reversal of 132223900 is 9322231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13479 + ... + 21121.

It is an arithmetic number, because the mean of its divisors is an integer number (8017282).

Almost surely, 2132223900 is an apocalyptic number.

132223900 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 132223900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144311076).

132223900 is an abundant number, since it is smaller than the sum of its proper divisors (156398252).

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

132223900 is a wasteful number, since it uses less digits than its factorization.

132223900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7830 (or 7823 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 132223900 is about 11498.8651613974. The cubic root of 132223900 is about 509.4520579220.

The spelling of 132223900 in words is "one hundred thirty-two million, two hundred twenty-three thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 865 1730 3460 4325 7643 8650 15286 17300 30572 38215 76430 152860 191075 382150 764300 1322239 2644478 5288956 6611195 13222390 26444780 33055975 66111950 132223900