Search a number
-
+
21122214064 = 2473159310259
BaseRepresentation
bin10011101010111110…
…110110100010110000
32000112001011122112121
4103222332312202300
5321224241322224
613411534204024
71345266600010
oct235276664260
960461148477
1021122214064
118a59a37066
124115953614
131cb8035723
141045367c40
1583953dbe4
hex4eafb68b0

21122214064 has 80 divisors (see below), whose sum is σ = 48365475840. Its totient is φ = 8744739840.

The previous prime is 21122214053. The next prime is 21122214103. The reversal of 21122214064 is 46041222112.

It is a super-2 number, since 2×211222140642 (a number of 21 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 15 ways as a sum of consecutive naturals, for example, 2053767 + ... + 2064025.

It is an arithmetic number, because the mean of its divisors is an integer number (604568448).

Almost surely, 221122214064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122214064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24182737920).

21122214064 is an abundant number, since it is smaller than the sum of its proper divisors (27243261776).

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

21122214064 is a wasteful number, since it uses less digits than its factorization.

21122214064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10898 (or 10892 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 21122214064 its reverse (46041222112), we get a palindrome (67163436176).

The spelling of 21122214064 in words is "twenty-one billion, one hundred twenty-two million, two hundred fourteen thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 593 868 1186 1736 2372 3472 4151 4744 8302 9488 10259 16604 18383 20518 33208 36766 41036 66416 71813 73532 82072 128681 143626 147064 164144 257362 287252 294128 318029 514724 574504 636058 1029448 1149008 1272116 2058896 2226203 2544232 4452406 5088464 6083587 8904812 12167174 17809624 24334348 35619248 42585109 48668696 85170218 97337392 170340436 188591197 340680872 377182394 681361744 754364788 1320138379 1508729576 2640276758 3017459152 5280553516 10561107032 21122214064