Search a number
-
+
22065967552 = 2612713919531
BaseRepresentation
bin10100100011001110…
…111111000111000000
32002221211000021221111
4110203032333013000
5330142341430202
614045330133104
71410546425626
oct244316770700
962854007844
1022065967552
1193a3733022
124339a21194
13210870b245
1410d4833516
1589230e6d7
hex5233bf1c0

22065967552 has 56 divisors (see below), whose sum is σ = 44451706880. Its totient is φ = 10866804480.

The previous prime is 22065967529. The next prime is 22065967579. The reversal of 22065967552 is 25576956022.

It is a junction number, because it is equal to n+sod(n) for n = 22065967496 and 22065967505.

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 7 ways as a sum of consecutive naturals, for example, 1120027 + ... + 1139557.

It is an arithmetic number, because the mean of its divisors is an integer number (793780480).

Almost surely, 222065967552 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 22065967552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22225853440).

22065967552 is an abundant number, since it is smaller than the sum of its proper divisors (22385739328).

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

22065967552 is a wasteful number, since it uses less digits than its factorization.

22065967552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19809 (or 19799 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 49.

The spelling of 22065967552 in words is "twenty-two billion, sixty-five million, nine hundred sixty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 127 139 254 278 508 556 1016 1112 2032 2224 4064 4448 8128 8896 17653 19531 35306 39062 70612 78124 141224 156248 282448 312496 564896 624992 1129792 1249984 2480437 2714809 4960874 5429618 9921748 10859236 19843496 21718472 39686992 43436944 79373984 86873888 158747968 173747776 344780743 689561486 1379122972 2758245944 5516491888 11032983776 22065967552