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212555252 = 227132412423
BaseRepresentation
bin11001010101101…
…01010111110100
3112210221220222202
430222311113310
5413403232002
633031444032
75160455420
oct1452652764
9483856882
10212555252
11a9a889a8
125b226618
1335061c50
142032db80
15139d9502
hexcab55f4

212555252 has 48 divisors (see below), whose sum is σ = 459900672. Its totient is φ = 83704320.

The previous prime is 212555249. The next prime is 212555257. The reversal of 212555252 is 252555212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212555257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86513 + ... + 88935.

It is an arithmetic number, because the mean of its divisors is an integer number (9581264).

Almost surely, 2212555252 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 212555252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229950336).

212555252 is an abundant number, since it is smaller than the sum of its proper divisors (247345420).

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

212555252 is a wasteful number, since it uses less digits than its factorization.

212555252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2686 counting only the distinct ones).

The product of its digits is 10000, while the sum is 29.

The square root of 212555252 is about 14579.2747419067. The cubic root of 212555252 is about 596.7933109589.

The spelling of 212555252 in words is "two hundred twelve million, five hundred fifty-five thousand, two hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 241 364 482 964 1687 2423 3133 3374 4846 6266 6748 9692 12532 16961 21931 31499 33922 43862 62998 67844 87724 125996 220493 440986 583943 881972 1167886 2335772 4087601 7591259 8175202 15182518 16350404 30365036 53138813 106277626 212555252