Search a number
-
+
2220014100222 = 2328312711700419
BaseRepresentation
bin100000010011100011001…
…001101101111011111110
321212020020121012011120200
4200103203021231323332
5242333042102201342
64415505502424330
7316251006333342
oct40234311557376
97766217164520
102220014100222
117865590a1786
122ba3062920a6
131314671570a9
1479640a87622
153cb3355594c
hex204e326defe

2220014100222 has 48 divisors (see below), whose sum is σ = 4906313717760. Its totient is φ = 725332312656.

The previous prime is 2220014100221. The next prime is 2220014100281.

2220014100222 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2220014100195 and 2220014100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220014100221) 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 23 ways as a sum of consecutive naturals, for example, 5660472 + ... + 6039947.

It is an arithmetic number, because the mean of its divisors is an integer number (102214869120).

Almost surely, 22220014100222 is an apocalyptic number.

2220014100222 is an abundant number, since it is smaller than the sum of its proper divisors (2686299617538).

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

2220014100222 is a wasteful number, since it uses less digits than its factorization.

2220014100222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11700637 (or 11700634 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The spelling of 2220014100222 in words is "two trillion, two hundred twenty billion, fourteen million, one hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 83 127 166 249 254 381 498 747 762 1143 1494 2286 10541 21082 31623 63246 94869 189738 11700419 23400838 35101257 70202514 105303771 210607542 971134777 1485953213 1942269554 2913404331 2971906426 4457859639 5826808662 8740212993 8915719278 13373578917 17480425986 26747157834 123334116679 246668233358 370002350037 740004700074 1110007050111 2220014100222