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213202240 = 2654631439
BaseRepresentation
bin11001011010100…
…11010101000000
3112212011210111021
430231103111000
5414034432430
633053355224
75166121606
oct1455232500
9485153437
10213202240
11aa38aaa9
125b498b14
133522a594
142045b876
1513ab607a
hexcb53540

213202240 has 56 divisors (see below), whose sum is σ = 509137920. Its totient is φ = 85037568.

The previous prime is 213202181. The next prime is 213202247. The reversal of 213202240 is 42202312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213202247) 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, 147441 + ... + 148879.

Almost surely, 2213202240 is an apocalyptic number.

213202240 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 213202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254568960).

213202240 is an abundant number, since it is smaller than the sum of its proper divisors (295935680).

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

213202240 is a wasteful number, since it uses less digits than its factorization.

213202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 213202240 is about 14601.4465036859. The cubic root of 213202240 is about 597.3982156528.

Adding to 213202240 its reverse (42202312), we get a palindrome (255404552).

The spelling of 213202240 in words is "two hundred thirteen million, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 463 926 1439 1852 2315 2878 3704 4630 5756 7195 7408 9260 11512 14390 14816 18520 23024 28780 29632 37040 46048 57560 74080 92096 115120 148160 230240 460480 666257 1332514 2665028 3331285 5330056 6662570 10660112 13325140 21320224 26650280 42640448 53300560 106601120 213202240