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213988352 = 210673119
BaseRepresentation
bin11001100000100…
…11010000000000
3112220122201211112
430300103100000
5414240111402
633122302452
75205604514
oct1460232000
9486581745
10213988352
11aa877686
125b7b7a28
1335444336
14205c4144
1513bbde52
hexcc13400

213988352 has 44 divisors (see below), whose sum is σ = 434291520. Its totient is φ = 105363456.

The previous prime is 213988351. The next prime is 213988399. The reversal of 213988352 is 253889312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213988351) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67049 + ... + 70167.

Almost surely, 2213988352 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 213988352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217145760).

213988352 is an abundant number, since it is smaller than the sum of its proper divisors (220303168).

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

213988352 is an equidigital number, since it uses as much as digits as its factorization.

213988352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3188 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 213988352 is about 14628.3407124663. The cubic root of 213988352 is about 598.1315504968.

The spelling of 213988352 in words is "two hundred thirteen million, nine hundred eighty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 512 536 1024 1072 2144 3119 4288 6238 8576 12476 17152 24952 34304 49904 68608 99808 199616 208973 399232 417946 798464 835892 1596928 1671784 3193856 3343568 6687136 13374272 26748544 53497088 106994176 213988352