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221688187468 = 221120532454149
BaseRepresentation
bin1100111001110110100…
…1010100101001001100
3210012012211102202120221
43032131221110221030
512113004133444333
6245501523121124
722005432334156
oct3163551245114
9705184382527
10221688187468
1186021225480
1236b6ab131a4
1317b9c6987b7
14aa30695ad6
155b7750dd2d
hex339da54a4c

221688187468 has 24 divisors (see below), whose sum is σ = 423429224400. Its totient is φ = 100718233920.

The previous prime is 221688187429. The next prime is 221688187493. The reversal of 221688187468 is 864781886122.

221688187468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2216881874682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1136743 + ... + 1317406.

It is an arithmetic number, because the mean of its divisors is an integer number (17642884350).

Almost surely, 2221688187468 is an apocalyptic number.

It is an amenable number.

221688187468 is a deficient number, since it is larger than the sum of its proper divisors (201741036932).

221688187468 is a wasteful number, since it uses less digits than its factorization.

221688187468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456217 (or 2456215 counting only the distinct ones).

The product of its digits is 16515072, while the sum is 61.

The spelling of 221688187468 in words is "two hundred twenty-one billion, six hundred eighty-eight million, one hundred eighty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 4 11 22 44 2053 4106 8212 22583 45166 90332 2454149 4908298 9816596 26995639 53991278 107982556 5038367897 10076735794 20153471588 55422046867 110844093734 221688187468