Search a number
-
+
212224040403444 = 2235218337490127
BaseRepresentation
bin110000010000010001000010…
…100010101000000111110100
31000211102102100021020212200000
4300100101002202220013310
5210304034313320402234
62031210213410551300
762462452363333026
oct6020210242500764
91024372307225600
10212224040403444
116169178a158273
121b976535898530
139155844772314
143a599ac43a016
15198067ac56899
hexc104428a81f4

212224040403444 has 36 divisors (see below), whose sum is σ = 556323924846144. Its totient is φ = 70741346800824.

The previous prime is 212224040403391. The next prime is 212224040403451. The reversal of 212224040403444 is 444304040422212.

212224040403444 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 240 + 4 + 0 + 403 + 4 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2122240404034442 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 212224040403399 and 212224040403408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109168744092 + ... + 109168746035.

Almost surely, 2212224040403444 is an apocalyptic number.

It is an amenable number.

212224040403444 is an abundant number, since it is smaller than the sum of its proper divisors (344099884442700).

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

212224040403444 is a wasteful number, since it uses less digits than its factorization.

212224040403444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218337490146 (or 218337490132 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 212224040403444 its reverse (444304040422212), we get a palindrome (656528080825656).

The spelling of 212224040403444 in words is "two hundred twelve trillion, two hundred twenty-four billion, forty million, four hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 218337490127 436674980254 655012470381 873349960508 1310024940762 1965037411143 2620049881524 3930074822286 5895112233429 7860149644572 11790224466858 17685336700287 23580448933716 35370673400574 53056010100861 70741346801148 106112020201722 212224040403444