Search a number
-
+
21222221002002 = 23216692423291547
BaseRepresentation
bin1001101001101001011101…
…11100011011010100010010
32210010211021001220110212100
410310310232330123110102
510240201102034031002
6113045204223541230
74320153264102216
oct464645674332422
983124231813770
1021222221002002
116842325547899
122469012a5a816
13bac32944c227
14535237a14946
1526c08a7a711c
hex134d2ef1b512

21222221002002 has 48 divisors (see below), whose sum is σ = 46028175485760. Its totient is φ = 7066893115296.

The previous prime is 21222221001983. The next prime is 21222221002013. The reversal of 21222221002002 is 20020012222212.

21222221002002 is a `hidden beast` number, since 21 + 222 + 221 + 0 + 0 + 200 + 2 = 666.

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

It is an unprimeable number.

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, 72645993 + ... + 72937539.

It is an arithmetic number, because the mean of its divisors is an integer number (958920322620).

Almost surely, 221222221002002 is an apocalyptic number.

21222221002002 is an abundant number, since it is smaller than the sum of its proper divisors (24805954483758).

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

21222221002002 is a wasteful number, since it uses less digits than its factorization.

21222221002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295647 (or 295644 counting only the distinct ones).

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

Adding to 21222221002002 its reverse (20020012222212), we get a palindrome (41242233224214).

The spelling of 21222221002002 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred twenty-one million, two thousand, two".

Divisors: 1 2 3 6 9 18 1669 2423 3338 4846 5007 7269 10014 14538 15021 21807 30042 43614 291547 583094 874641 1749282 2623923 4043987 5247846 8087974 12131961 24263922 36395883 72791766 486591943 706418381 973183886 1412836762 1459775829 2119255143 2919551658 4238510286 4379327487 6357765429 8758654974 12715530858 1179012277889 2358024555778 3537036833667 7074073667334 10611110501001 21222221002002