Search a number
-
+
212554530 = 23759719
BaseRepresentation
bin11001010101101…
…01001100100010
3112210221220000000
430222311030202
5413403221110
633031440430
75160453336
oct1452651442
9483856000
10212554530
11a9a88401
125b226116
1335061816
142032d7c6
15139d91c0
hexcab5322

212554530 has 64 divisors (see below), whose sum is σ = 573868800. Its totient is φ = 56675376.

The previous prime is 212554513. The next prime is 212554597. The reversal of 212554530 is 35455212.

It is a happy number.

212554530 is a `hidden beast` number, since 2 + 125 + 5 + 4 + 530 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212554494 and 212554503.

It is a congruent number.

It is an unprimeable number.

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, 17011 + ... + 26729.

It is an arithmetic number, because the mean of its divisors is an integer number (8966700).

Almost surely, 2212554530 is an apocalyptic number.

212554530 is the 7290-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212554530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286934400).

212554530 is an abundant number, since it is smaller than the sum of its proper divisors (361314270).

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

212554530 is an frugal number, since it uses more digits than its factorization.

212554530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9747 (or 9729 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 212554530 is about 14579.2499807089. The cubic root of 212554530 is about 596.7926352362.

The spelling of 212554530 in words is "two hundred twelve million, five hundred fifty-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2187 2430 3645 4374 7290 9719 10935 19438 21870 29157 48595 58314 87471 97190 145785 174942 262413 291570 437355 524826 787239 874710 1312065 1574478 2361717 2624130 3936195 4723434 7085151 7872390 11808585 14170302 21255453 23617170 35425755 42510906 70851510 106277265 212554530