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132218190 = 233513139271
BaseRepresentation
bin1111110000101…
…11110101001110
3100012210101021000
413320113311032
5232321440230
621041521130
73163556526
oct770276516
9305711230
10132218190
11686a7535
12383431a6
1321514320
14137ba686
15b91ab60
hex7e17d4e

132218190 has 128 divisors (see below), whose sum is σ = 383846400. Its totient is φ = 32192640.

The previous prime is 132218189. The next prime is 132218209. The reversal of 132218190 is 91812231.

It is a super-2 number, since 2×1322181902 = 34963299533752200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 487755 + ... + 488025.

It is an arithmetic number, because the mean of its divisors is an integer number (2998800).

Almost surely, 2132218190 is an apocalyptic number.

132218190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132218190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191923200).

132218190 is an abundant number, since it is smaller than the sum of its proper divisors (251628210).

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

132218190 is a wasteful number, since it uses less digits than its factorization.

132218190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 132218190 is about 11498.6168733461. The cubic root of 132218190 is about 509.4447243685. Note that the first 3 decimals are identical.

The spelling of 132218190 in words is "one hundred thirty-two million, two hundred eighteen thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 139 195 234 270 271 278 351 390 417 542 585 695 702 813 834 1170 1251 1355 1390 1626 1755 1807 2085 2439 2502 2710 3510 3523 3614 3753 4065 4170 4878 5421 6255 7046 7317 7506 8130 9035 10569 10842 12195 12510 14634 16263 17615 18070 18765 21138 24390 27105 31707 32526 35230 36585 37530 37669 48789 52845 54210 63414 73170 75338 81315 95121 97578 105690 113007 158535 162630 188345 190242 226014 243945 317070 339021 376690 475605 487890 489697 565035 678042 951210 979394 1017063 1130070 1469091 1695105 2034126 2448485 2938182 3390210 4407273 4896970 5085315 7345455 8814546 10170630 13221819 14690910 22036365 26443638 44072730 66109095 132218190