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221150132 = 22725361349
BaseRepresentation
bin11010010111001…
…11101110110100
3120102010120221122
431023213232310
5423103301012
633540003112
75323513400
oct1513475664
9512116848
10221150132
11103919405
1262090498
1336a81088
142152a100
1514635e72
hexd2e7bb4

221150132 has 72 divisors (see below), whose sum is σ = 467548200. Its totient is φ = 91203840.

The previous prime is 221150123. The next prime is 221150141. The reversal of 221150132 is 231051122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221150123) and next prime (221150141).

It can be written as a sum of positive squares in 4 ways, for example, as 22791076 + 198359056 = 4774^2 + 14084^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 221150132.

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 23 ways as a sum of consecutive naturals, for example, 633494 + ... + 633842.

It is an arithmetic number, because the mean of its divisors is an integer number (6493725).

Almost surely, 2221150132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221150132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233774100).

221150132 is an abundant number, since it is smaller than the sum of its proper divisors (246398068).

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

221150132 is a wasteful number, since it uses less digits than its factorization.

221150132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 221150132 is about 14871.1173756379. The cubic root of 221150132 is about 604.7312350373.

The spelling of 221150132 in words is "two hundred twenty-one million, one hundred fifty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 53 61 98 106 122 196 212 244 349 371 427 698 742 854 1396 1484 1708 2443 2597 2989 3233 4886 5194 5978 6466 9772 10388 11956 12932 17101 18497 21289 22631 34202 36994 42578 45262 68404 73988 85156 90524 129479 149023 158417 258958 298046 316834 517916 596092 633668 906353 1043161 1128317 1812706 2086322 2256634 3625412 4172644 4513268 7898219 15796438 31592876 55287533 110575066 221150132