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213995232 = 253211312179
BaseRepresentation
bin11001100000101…
…00111011100000
3112220200002021100
430300110323200
5414240321412
633122354400
75205633543
oct1460247340
9486602240
10213995232
11aa881870
125b7bba00
13354474c9
14205c685a
1513bc0edc
hexcc14ee0

213995232 has 144 divisors (see below), whose sum is σ = 685601280. Its totient is φ = 62726400.

The previous prime is 213995213. The next prime is 213995273. The reversal of 213995232 is 232599312.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97119 + ... + 99297.

It is an arithmetic number, because the mean of its divisors is an integer number (4761120).

Almost surely, 2213995232 is an apocalyptic number.

213995232 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 213995232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342800640).

213995232 is an abundant number, since it is smaller than the sum of its proper divisors (471606048).

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

213995232 is a wasteful number, since it uses less digits than its factorization.

213995232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2226 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 213995232 is about 14628.5758705350. The cubic root of 213995232 is about 598.1379606603.

The spelling of 213995232 in words is "two hundred thirteen million, nine hundred ninety-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 66 72 88 93 96 99 124 132 144 176 186 198 248 264 279 288 341 352 372 396 496 528 558 682 744 792 992 1023 1056 1116 1364 1488 1584 2046 2179 2232 2728 2976 3069 3168 4092 4358 4464 5456 6138 6537 8184 8716 8928 10912 12276 13074 16368 17432 19611 23969 24552 26148 32736 34864 39222 47938 49104 52296 67549 69728 71907 78444 95876 98208 104592 135098 143814 156888 191752 202647 209184 215721 270196 287628 313776 383504 405294 431442 540392 575256 607941 627552 743039 767008 810588 862884 1080784 1150512 1215882 1486078 1621176 1725768 2161568 2229117 2301024 2431764 2972156 3242352 3451536 4458234 4863528 5944312 6484704 6687351 6903072 8916468 9727056 11888624 13374702 17832936 19454112 23777248 26749404 35665872 53498808 71331744 106997616 213995232