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212753130 = 23517253463
BaseRepresentation
bin11001010111001…
…01101011101010
3112211022222102120
430223211223222
5413431100010
633040012110
75162241342
oct1453455352
9484288376
10212753130
11aa103637
125b301036
1335101035
1420381d22
1513a27e70
hexcae5aea

212753130 has 96 divisors (see below), whose sum is σ = 553837824. Its totient is φ = 52276224.

The previous prime is 212753117. The next prime is 212753131. The reversal of 212753130 is 31357212.

It is a self number, because there is not a number n which added to its sum of digits gives 212753130.

It is not an unprimeable number, because it can be changed into a prime (212753131) 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, 459279 + ... + 459741.

It is an arithmetic number, because the mean of its divisors is an integer number (5769144).

Almost surely, 2212753130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212753130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276918912).

212753130 is an abundant number, since it is smaller than the sum of its proper divisors (341084694).

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

212753130 is a wasteful number, since it uses less digits than its factorization.

212753130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 212753130 is about 14586.0594404383. The cubic root of 212753130 is about 596.9784481388.

The spelling of 212753130 in words is "two hundred twelve million, seven hundred fifty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 53 85 102 106 159 170 255 265 289 318 463 510 530 578 795 867 901 926 1389 1445 1590 1734 1802 2315 2703 2778 2890 4335 4505 4630 5406 6945 7871 8670 9010 13515 13890 15317 15742 23613 24539 27030 30634 39355 45951 47226 49078 73617 76585 78710 91902 118065 122695 133807 147234 153170 229755 236130 245390 267614 368085 401421 417163 459510 669035 736170 802842 834326 1251489 1338070 2007105 2085815 2502978 4014210 4171630 6257445 7091771 12514890 14183542 21275313 35458855 42550626 70917710 106376565 212753130