Search a number
-
+
10022144448 = 26395354773
BaseRepresentation
bin10010101010101110…
…11100100111000000
3221212110102200121010
421111113130213000
5131011132110243
64334253200520
7503233552011
oct112527344700
927773380533
1010022144448
11428326a508
121b38490140
13c394719b4
146b1089008
153d9cd4433
hex2555dc9c0

10022144448 has 56 divisors (see below), whose sum is σ = 26545233168. Its totient is φ = 3337148416.

The previous prime is 10022144441. The next prime is 10022144449. The reversal of 10022144448 is 84444122001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022144441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155590 + ... + 210362.

Almost surely, 210022144448 is an apocalyptic number.

It is an amenable number.

10022144448 is an abundant number, since it is smaller than the sum of its proper divisors (16523088720).

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

10022144448 is an equidigital number, since it uses as much as digits as its factorization.

10022144448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55741 (or 55731 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 10022144448 its reverse (84444122001), we get a palindrome (94466266449).

The spelling of 10022144448 in words is "ten billion, twenty-two million, one hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 953 1906 2859 3812 5718 7624 11436 15248 22872 30496 45744 54773 60992 91488 109546 164319 182976 219092 328638 438184 657276 876368 1314552 1752736 2629104 3505472 5258208 10516416 52198669 104397338 156596007 208794676 313192014 417589352 626384028 835178704 1252768056 1670357408 2505536112 3340714816 5011072224 10022144448