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213036512 = 25131926953
BaseRepresentation
bin11001011001010…
…10110111100000
3112211212101011012
430230222313200
5414014132022
633050040052
75164531463
oct1454526740
9484771135
10213036512
11aa287537
125b419028
13351a0010
14204172da
1513a81de2
hexcb2ade0

213036512 has 48 divisors (see below), whose sum is σ = 475468560. Its totient is φ = 93146112.

The previous prime is 213036449. The next prime is 213036539. The reversal of 213036512 is 215630312.

213036512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2130365122 = 90769110890252288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5573 + ... + 21380.

It is an arithmetic number, because the mean of its divisors is an integer number (9905595).

Almost surely, 2213036512 is an apocalyptic number.

It is an amenable number.

213036512 is an abundant number, since it is smaller than the sum of its proper divisors (262432048).

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

213036512 is a wasteful number, since it uses less digits than its factorization.

213036512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26995 (or 26987 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 213036512 is about 14595.7703462339. The cubic root of 213036512 is about 597.2433841403.

Adding to 213036512 its reverse (215630312), we get a palindrome (428666824).

The spelling of 213036512 in words is "two hundred thirteen million, thirty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1976 3952 7904 26953 53906 107812 215624 350389 431248 512107 700778 862496 1024214 1401556 2048428 2803112 4096856 5606224 6657391 8193712 11212448 13314782 16387424 26629564 53259128 106518256 213036512