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6225312 = 253193413
BaseRepresentation
bin10111101111110110100000
3102201021112010
4113233312200
53043202222
6341232520
7103625412
oct27576640
912637463
106225312
113572195
122102740
13139c722
14b809b2
1582e80c
hex5efda0

6225312 has 48 divisors (see below), whose sum is σ = 17206560. Its totient is φ = 1965312.

The previous prime is 6225299. The next prime is 6225313. The reversal of 6225312 is 2135226.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6225313) 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, 118 + ... + 3530.

It is an arithmetic number, because the mean of its divisors is an integer number (358470).

Almost surely, 26225312 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 6225312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8603280).

6225312 is an abundant number, since it is smaller than the sum of its proper divisors (10981248).

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

6225312 is a wasteful number, since it uses less digits than its factorization.

6225312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3437 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 6225312 is about 2495.0575143672. The cubic root of 6225312 is about 183.9587178968.

The spelling of 6225312 in words is "six million, two hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 3413 6826 10239 13652 20478 27304 40956 54608 64847 81912 109216 129694 163824 194541 259388 327648 389082 518776 778164 1037552 1556328 2075104 3112656 6225312