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213343312 = 24713146527
BaseRepresentation
bin11001011011101…
…01110001010000
3112212102222000011
430231311301100
5414103441222
633100404304
75200250110
oct1455656120
9485388004
10213343312
11aa476a96
125b546694
1335279860
1420497040
1513ae2c77
hexcb75c50

213343312 has 40 divisors (see below), whose sum is σ = 508745216. Its totient is φ = 84398976.

The previous prime is 213343309. The next prime is 213343313.

213343312 is nontrivially palindromic in base 10.

213343312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213343313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71808 + ... + 74719.

Almost surely, 2213343312 is an apocalyptic number.

It is an amenable number.

213343312 is an abundant number, since it is smaller than the sum of its proper divisors (295401904).

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

213343312 is a wasteful number, since it uses less digits than its factorization.

213343312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146555 (or 146549 counting only the distinct ones).

The product of its digits is 1296, while the sum is 22.

The square root of 213343312 is about 14606.2764591117. The cubic root of 213343312 is about 597.5299490716.

The spelling of 213343312 in words is "two hundred thirteen million, three hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 146527 293054 586108 1025689 1172216 1904851 2051378 2344432 3809702 4102756 7619404 8205512 13333957 15238808 16411024 26667914 30477616 53335828 106671656 213343312