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212552349156 = 22347236592
BaseRepresentation
bin1100010111110100011…
…0110111010111100100
3202022122010202002110000
43011331012313113210
511440301400133111
6241351210301300
721233150105100
oct3057506672744
9668563662400
10212552349156
1182163294984
123523b427830
1317074a37504
14a405200900
1557e044dc56
hex317d1b75e4

212552349156 has 135 divisors (see below), whose sum is σ = 646549519539. Its totient is φ = 60712645392.

The previous prime is 212552349083. The next prime is 212552349157. The reversal of 212552349156 is 651943255212.

The square root of 212552349156 is 461034.

It is a perfect power (a square), and thus also a powerful number.

212552349156 is a `hidden beast` number, since 2 + 1 + 2 + 552 + 3 + 4 + 91 + 5 + 6 = 666.

It is a super-2 number, since 2×2125523491562 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212552349157) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 58088455 + ... + 58092113.

Almost surely, 2212552349156 is an apocalyptic number.

212552349156 is the 461034-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212552349156

212552349156 is an abundant number, since it is smaller than the sum of its proper divisors (433997170383).

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

212552349156 is an frugal number, since it uses more digits than its factorization.

212552349156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7348 (or 3671 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 212552349156 in words is "two hundred twelve billion, five hundred fifty-two million, three hundred forty-nine thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3659 3969 5292 7318 7938 10977 14636 15876 21954 25613 32931 43908 51226 65862 76839 98793 102452 131724 153678 179291 197586 230517 296379 307356 358582 395172 461034 537873 592758 691551 717164 922068 1075746 1185516 1383102 1613619 2074653 2151492 2766204 3227238 4149306 4840857 6454476 8298612 9681714 13388281 14522571 19363428 26776562 29045142 40164843 53553124 58090284 80329686 93717967 120494529 160659372 187435934 240989058 281153901 361483587 374871868 481978116 562307802 656025769 722967174 843461703 1084450761 1124615604 1312051538 1445934348 1686923406 1968077307 2168901522 2530385109 2624103076 3373846812 3936154614 4337803044 5060770218 5904231921 7591155327 7872309228 10121540436 11808463842 15182310654 17712695763 23616927684 30364621308 35425391526 53138087289 70850783052 106276174578 212552349156