Search a number
-
+
22097065088 = 277218772
BaseRepresentation
bin10100100101000101…
…100111010010000000
32010000222112012202002
4110211011213102000
5330223322040323
614052400443132
71411404645200
oct244505472200
963028465662
1022097065088
11940a24306a
1243483194a8
132111ca8957
1410d8a0a400
15894e03828
hex525167480

22097065088 has 72 divisors (see below), whose sum is σ = 51235976745. Its totient is φ = 9465125376.

The previous prime is 22097065061. The next prime is 22097065091. The reversal of 22097065088 is 88056079022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 21740912704 + 356152384 = 147448^2 + 18872^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105112.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11771606 + ... + 11773482.

Almost surely, 222097065088 is an apocalyptic number.

22097065088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22097065088

22097065088 is an abundant number, since it is smaller than the sum of its proper divisors (29138911657).

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

22097065088 is an frugal number, since it uses more digits than its factorization.

22097065088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 22097065088 in words is "twenty-two billion, ninety-seven million, sixty-five thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 1877 3136 3754 6272 7508 13139 15016 26278 30032 52556 60064 91973 105112 120128 183946 210224 240256 367892 420448 735784 840896 1471568 1681792 2943136 3523129 5886272 7046258 11772544 14092516 24661903 28185032 49323806 56370064 98647612 112740128 172633321 197295224 225480256 345266642 394590448 450960512 690533284 789180896 1381066568 1578361792 2762133136 3156723584 5524266272 11048532544 22097065088