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2210222011221 = 327371277466033
BaseRepresentation
bin100000001010011011011…
…111110111001101010101
321211021222011122111201200
4200022123133313031111
5242203013313324341
64411210104143113
7315453235055040
oct40123337671525
97737864574650
102210222011221
11782393783344
122b8432a67a99
131305665639a3
1478d923a5c57
153c75da65db6
hex2029b7f7355

2210222011221 has 48 divisors (see below), whose sum is σ = 3776738095104. Its totient is φ = 1219173161472.

The previous prime is 2210222011213. The next prime is 2210222011229. The reversal of 2210222011221 is 1221102220122.

It is a happy number.

2210222011221 is a `hidden beast` number, since 2 + 210 + 2 + 220 + 11 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (2210222011213) and next prime (2210222011229).

It is not a de Polignac number, because 2210222011221 - 23 = 2210222011213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2210222011194 and 2210222011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210222011229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3436980 + ... + 4029053.

It is an arithmetic number, because the mean of its divisors is an integer number (78682043648).

Almost surely, 22210222011221 is an apocalyptic number.

2210222011221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2210222011221 is a deficient number, since it is larger than the sum of its proper divisors (1566516083883).

2210222011221 is a wasteful number, since it uses less digits than its factorization.

2210222011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7466210 (or 7466207 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2210222011221 its reverse (1221102220122), we get a palindrome (3431324231343).

The spelling of 2210222011221 in words is "two trillion, two hundred ten billion, two hundred twenty-two million, eleven thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 37 63 111 127 259 333 381 777 889 1143 2331 2667 4699 8001 14097 32893 42291 98679 296037 7466033 22398099 52262231 67194297 156786693 276243221 470360079 828729663 948186191 1933702547 2486188989 2844558573 5801107641 6637303337 8533675719 17403322923 19911910011 35082889067 59735730033 105248667201 245580223469 315746001603 736740670407 2210222011221