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209031372 = 2232112471021
BaseRepresentation
bin11000111010110…
…01000011001100
3112120022220010200
430131121003030
5412003000442
632424133500
75115510624
oct1435310314
9476286120
10209031372
11a7aa1400
125a007290
13343ca004
141da93884
151354034c
hexc7590cc

209031372 has 108 divisors (see below), whose sum is σ = 593724768. Its totient is φ = 61934400.

The previous prime is 209031359. The next prime is 209031373. The reversal of 209031372 is 273130902.

It is a super-2 number, since 2×2090313722 = 87388228960404768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (209031373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204222 + ... + 205242.

Almost surely, 2209031372 is an apocalyptic number.

209031372 is a gapful number since it is divisible by the number (22) 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 209031372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296862384).

209031372 is an abundant number, since it is smaller than the sum of its proper divisors (384693396).

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

209031372 is a wasteful number, since it uses less digits than its factorization.

209031372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 209031372 is about 14457.9172773951. The cubic root of 209031372 is about 593.4769057378.

The spelling of 209031372 in words is "two hundred nine million, thirty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 121 132 141 188 198 242 282 363 396 423 484 517 564 726 846 1021 1034 1089 1452 1551 1692 2042 2068 2178 3063 3102 4084 4356 4653 5687 6126 6204 9189 9306 11231 11374 12252 17061 18378 18612 22462 22748 33693 34122 36756 44924 47987 51183 67386 68244 95974 101079 102366 123541 134772 143961 191948 202158 204732 247082 287922 370623 404316 431883 494164 527857 575844 741246 863766 1055714 1111869 1482492 1583571 1727532 2111428 2223738 3167142 4447476 4750713 5806427 6334284 9501426 11612854 17419281 19002852 23225708 34838562 52257843 69677124 104515686 209031372