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2222135421228 = 2232411505511803
BaseRepresentation
bin100000010101100001100…
…101111010100100101100
321212102201102211102221100
4200111201211322210230
5242401413131434403
64420500202003100
7316354405300602
oct40254145724454
97772642742840
102222135421228
11787447572638
122ba7b87a6490
1313171479b718
14797a26c3872
153cc098d02a3
hex2056197a92c

2222135421228 has 36 divisors (see below), whose sum is σ = 5754066114888. Its totient is φ = 722645664960.

The previous prime is 2222135421199. The next prime is 2222135421229. The reversal of 2222135421228 is 8221245312222.

2222135421228 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 1 + 3 + 5 + 421 + 228 = 666.

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

It is a super-2 number, since 2×22221354212282 (a number of 25 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 = 2222135421192 and 2222135421201.

It is not an unprimeable number, because it can be changed into a prime (2222135421229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 752754426 + ... + 752757377.

It is an arithmetic number, because the mean of its divisors is an integer number (159835169858).

Almost surely, 22222135421228 is an apocalyptic number.

It is an amenable number.

2222135421228 is an abundant number, since it is smaller than the sum of its proper divisors (3531930693660).

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

2222135421228 is a wasteful number, since it uses less digits than its factorization.

2222135421228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505511854 (or 1505511849 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The spelling of 2222135421228 in words is "two trillion, two hundred twenty-two billion, one hundred thirty-five million, four hundred twenty-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1505511803 3011023606 4516535409 6022047212 9033070818 13549606227 18066141636 27099212454 54198424908 61725983923 123451967846 185177951769 246903935692 370355903538 555533855307 740711807076 1111067710614 2222135421228