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212545300 = 2252112331271
BaseRepresentation
bin11001010101100…
…10111100010100
3112210221102100011
430222302330110
5413402422200
633031330004
75160414412
oct1452627424
9483842304
10212545300
11a9a81480
125b220904
133505a566
142032a2b2
15139d65ba
hexcab2f14

212545300 has 144 divisors (see below), whose sum is σ = 543965184. Its totient is φ = 71280000.

The previous prime is 212545297. The next prime is 212545301. The reversal of 212545300 is 3545212.

212545300 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 (212545301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 784165 + ... + 784435.

It is an arithmetic number, because the mean of its divisors is an integer number (3777536).

Almost surely, 2212545300 is an apocalyptic number.

212545300 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 212545300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271982592).

212545300 is an abundant number, since it is smaller than the sum of its proper divisors (331419884).

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

212545300 is a wasteful number, since it uses less digits than its factorization.

212545300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 212545300 is about 14578.9334314963. The cubic root of 212545300 is about 596.7839967066.

The spelling of 212545300 in words is "two hundred twelve million, five hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 31 44 46 50 55 62 92 100 110 115 124 155 220 230 253 271 275 310 341 460 506 542 550 575 620 682 713 775 1012 1084 1100 1150 1265 1355 1364 1426 1550 1705 2300 2530 2710 2852 2981 3100 3410 3565 5060 5420 5962 6233 6325 6775 6820 7130 7843 8401 8525 11924 12466 12650 13550 14260 14905 15686 16802 17050 17825 24932 25300 27100 29810 31165 31372 33604 34100 35650 39215 42005 59620 62330 68563 71300 74525 78430 84010 92411 124660 137126 149050 155825 156860 168020 184822 193223 196075 210025 274252 298100 311650 342815 369644 386446 392150 420050 462055 623300 685630 772892 784300 840100 924110 966115 1371260 1714075 1848220 1932230 2125453 2310275 3428150 3864460 4250906 4620550 4830575 6856300 8501812 9241100 9661150 10627265 19322300 21254530 42509060 53136325 106272650 212545300