Search a number
-
+
221254004500 = 22532861154669
BaseRepresentation
bin1100111000001111000…
…1000010111100010100
3210011002120102222112021
43032003301002330110
512111112011121000
6245350453102524
721661611002464
oct3160361027424
9704076388467
10221254004500
1185919132381
1236a69627a44
1317b307492b9
14a9ccb53ba4
155b4e34711a
hex3383c42f14

221254004500 has 48 divisors (see below), whose sum is σ = 483390769680. Its totient is φ = 88470096000.

The previous prime is 221254004473. The next prime is 221254004537. The reversal of 221254004500 is 5400452122.

It can be written as a sum of positive squares in 8 ways, for example, as 27784222596 + 193469781904 = 166686^2 + 439852^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1353166 + ... + 1507834.

It is an arithmetic number, because the mean of its divisors is an integer number (10070641035).

Almost surely, 2221254004500 is an apocalyptic number.

221254004500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221254004500 is an abundant number, since it is smaller than the sum of its proper divisors (262136765180).

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

221254004500 is a wasteful number, since it uses less digits than its factorization.

221254004500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157549 (or 157537 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 221254004500 its reverse (5400452122), we get a palindrome (226654456622).

The spelling of 221254004500 in words is "two hundred twenty-one billion, two hundred fifty-four million, four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 2861 5722 11444 14305 28610 57220 71525 143050 154669 286100 309338 357625 618676 715250 773345 1430500 1546690 3093380 3866725 7733450 15466900 19333625 38667250 77334500 442508009 885016018 1770032036 2212540045 4425080090 8850160180 11062700225 22125400450 44250800900 55313501125 110627002250 221254004500