Search a number
-
+
212300010 = 232513296257
BaseRepresentation
bin11001010011101…
…11000011101010
3112210110221212100
430221313003222
5413322100020
633022154230
75155343316
oct1451670352
9483427770
10212300010
11a992415a
125b122976
1334ca2a10
14202a4b46
1513988a90
hexca770ea

212300010 has 96 divisors (see below), whose sum is σ = 615036240. Its totient is φ = 50448384.

The previous prime is 212299991. The next prime is 212300021. The reversal of 212300010 is 10003212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 124746561 + 87553449 = 11169^2 + 9357^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 212299965 and 212300001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30802 + ... + 37058.

Almost surely, 2212300010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212300010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307518120).

212300010 is an abundant number, since it is smaller than the sum of its proper divisors (402736230).

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

212300010 is a wasteful number, since it uses less digits than its factorization.

212300010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 212300010 is about 14570.5185220019. The cubic root of 212300010 is about 596.5543335162.

Adding to 212300010 its reverse (10003212), we get a palindrome (222303222).

The spelling of 212300010 in words is "two hundred twelve million, three hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 29 30 39 45 58 65 78 87 90 117 130 145 174 195 234 261 290 377 390 435 522 585 754 870 1131 1170 1305 1885 2262 2610 3393 3770 5655 6257 6786 11310 12514 16965 18771 31285 33930 37542 56313 62570 81341 93855 112626 162682 181453 187710 244023 281565 362906 406705 488046 544359 563130 732069 813410 907265 1088718 1220115 1464138 1633077 1814530 2358889 2440230 2721795 3266154 3660345 4717778 5443590 7076667 7320690 8165385 11794445 14153334 16330770 21230001 23588890 35383335 42460002 70766670 106150005 212300010