Search a number
-
+
212027268132 = 223229725328001
BaseRepresentation
bin1100010101110111001…
…1110101110000100100
3202021021112201012200200
43011131303311300210
511433212440040012
6241223132110500
721214143020451
oct3053563656044
9667245635620
10212027268132
1181a13957819
1235113605430
1316cc0010394
14a39559a828
1557ae2ce3dc
hex315dcf5c24

212027268132 has 72 divisors (see below), whose sum is σ = 554535366840. Its totient is φ = 68226816000.

The previous prime is 212027268049. The next prime is 212027268133. The reversal of 212027268132 is 231862720212.

It can be written as a sum of positive squares in 4 ways, for example, as 71510247396 + 140517020736 = 267414^2 + 374856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (212027268133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7558132 + ... + 7586132.

It is an arithmetic number, because the mean of its divisors is an integer number (7701880095).

Almost surely, 2212027268132 is an apocalyptic number.

It is an amenable number.

212027268132 is an abundant number, since it is smaller than the sum of its proper divisors (342508098708).

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

212027268132 is a wasteful number, since it uses less digits than its factorization.

212027268132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35293 (or 35288 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 212027268132 its reverse (231862720212), we get a palindrome (443889988344).

The spelling of 212027268132 in words is "two hundred twelve billion, twenty-seven million, two hundred sixty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 7253 14506 21759 28001 29012 43518 56002 65277 84003 87036 112004 130554 168006 210337 252009 261108 336012 420674 504018 631011 812029 841348 1008036 1262022 1624058 1893033 2436087 2524044 3248116 3786066 4872174 7308261 7572132 9744348 14616522 29233044 203091253 406182506 609273759 812365012 1218547518 1827821277 2437095036 3655642554 5889646337 7311285108 11779292674 17668939011 23558585348 35337878022 53006817033 70675756044 106013634066 212027268132