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132221820 = 223531671061
BaseRepresentation
bin1111110000110…
…00101101111100
3100012210120020110
413320120231330
5232322044240
621041550020
73163603233
oct770305574
9305716213
10132221820
11686aa235
1238345310
1321515b83
14137bbb1a
15b91bc80
hex7e18b7c

132221820 has 96 divisors (see below), whose sum is σ = 388233216. Its totient is φ = 33580800.

The previous prime is 132221819. The next prime is 132221849. The reversal of 132221820 is 28122231.

It is a happy number.

It is a super-2 number, since 2×1322218202 = 34965219368224800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124090 + ... + 125150.

It is an arithmetic number, because the mean of its divisors is an integer number (4044096).

Almost surely, 2132221820 is an apocalyptic number.

132221820 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 132221820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194116608).

132221820 is an abundant number, since it is smaller than the sum of its proper divisors (256011396).

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

132221820 is a wasteful number, since it uses less digits than its factorization.

132221820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 132221820 is about 11498.7747173340. The cubic root of 132221820 is about 509.4493865294.

The spelling of 132221820 in words is "one hundred thirty-two million, two hundred twenty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 67 93 124 134 155 186 201 268 310 335 372 402 465 620 670 804 930 1005 1061 1340 1860 2010 2077 2122 3183 4020 4154 4244 5305 6231 6366 8308 10385 10610 12462 12732 15915 20770 21220 24924 31155 31830 32891 41540 62310 63660 65782 71087 98673 124620 131564 142174 164455 197346 213261 284348 328910 355435 394692 426522 493365 657820 710870 853044 986730 1066305 1421740 1973460 2132610 2203697 4265220 4407394 6611091 8814788 11018485 13222182 22036970 26444364 33055455 44073940 66110910 132221820