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213356700 = 223352194159
BaseRepresentation
bin11001011011110…
…01000010011100
3112212110122101000
430231321002130
5414104403300
633100550300
75200334124
oct1455710234
9485418330
10213356700
11aa486057
125b552390
133528298b
142049bc84
1513ae6c00
hexcb7909c

213356700 has 144 divisors (see below), whose sum is σ = 722176000. Its totient is φ = 53887680.

The previous prime is 213356651. The next prime is 213356701. The reversal of 213356700 is 7653312.

It is a happy number.

213356700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213356701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49221 + ... + 53379.

Almost surely, 2213356700 is an apocalyptic number.

213356700 is a gapful number since it is divisible by the number (20) 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 213356700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361088000).

213356700 is an abundant number, since it is smaller than the sum of its proper divisors (508819300).

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

213356700 is a wasteful number, since it uses less digits than its factorization.

213356700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 213356700 is about 14606.7347480537. The cubic root of 213356700 is about 597.5424478051.

The spelling of 213356700 in words is "two hundred thirteen million, three hundred fifty-six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 27 30 36 38 45 50 54 57 60 75 76 90 95 100 108 114 135 150 171 180 190 225 228 270 285 300 342 380 450 475 513 540 570 675 684 855 900 950 1026 1140 1350 1425 1710 1900 2052 2565 2700 2850 3420 4159 4275 5130 5700 8318 8550 10260 12477 12825 16636 17100 20795 24954 25650 37431 41590 49908 51300 62385 74862 79021 83180 103975 112293 124770 149724 158042 187155 207950 224586 237063 249540 311925 316084 374310 395105 415900 449172 474126 561465 623850 711189 748620 790210 935775 948252 1122930 1185315 1247700 1422378 1580420 1871550 1975525 2133567 2245860 2370630 2807325 2844756 3555945 3743100 3951050 4267134 4741260 5614650 5926575 7111890 7902100 8534268 10667835 11229300 11853150 14223780 17779725 21335670 23706300 35559450 42671340 53339175 71118900 106678350 213356700