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65213500 = 22531171167
BaseRepresentation
bin1111100011000…
…1010000111100
311112201012002211
43320301100330
5113143313000
610245430204
71421206552
oct370612074
9145635084
1065213500
11338a1960
1219a0b364
1310683c91
148937bd2
155ad27ba
hex3e3143c

65213500 has 96 divisors (see below), whose sum is σ = 158505984. Its totient is φ = 23240000.

The previous prime is 65213497. The next prime is 65213509. The reversal of 65213500 is 531256.

It is a happy number.

65213500 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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65213509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390417 + ... + 390583.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 265213500 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 65213500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79252992).

65213500 is an abundant number, since it is smaller than the sum of its proper divisors (93292484).

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

65213500 is a wasteful number, since it uses less digits than its factorization.

65213500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 65213500 is about 8075.4876013774. The cubic root of 65213500 is about 402.5123126771.

Adding to 65213500 its reverse (531256), we get a palindrome (65744756).

The spelling of 65213500 in words is "sixty-five million, two hundred thirteen thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 125 142 167 220 250 275 284 334 355 500 550 668 710 781 835 1100 1375 1420 1562 1670 1775 1837 2750 3124 3340 3550 3674 3905 4175 5500 7100 7348 7810 8350 8875 9185 11857 15620 16700 17750 18370 19525 20875 23714 35500 36740 39050 41750 45925 47428 59285 78100 83500 91850 97625 118570 130427 183700 195250 229625 237140 260854 296425 390500 459250 521708 592850 652135 918500 1185700 1304270 1482125 2608540 2964250 3260675 5928500 6521350 13042700 16303375 32606750 65213500