Search a number
-
+
22227117952 = 271325319387
BaseRepresentation
bin10100101100110101…
…101110011110000000
32010101001020120201211
4110230311232132000
5331010120233302
614113324135504
71414544246104
oct245465563600
963331216654
1022227117952
1194766a0776
124383997594
132132c12500
14110bdc1904
158a1542ad7
hex52cd6e780

22227117952 has 96 divisors (see below), whose sum is σ = 48856015080. Its totient is φ = 10064590848.

The previous prime is 22227117937. The next prime is 22227117973. The reversal of 22227117952 is 25971172222.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 1136803 + ... + 1156189.

Almost surely, 222227117952 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 22227117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24428007540).

22227117952 is an abundant number, since it is smaller than the sum of its proper divisors (26628897128).

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

22227117952 is a wasteful number, since it uses less digits than its factorization.

22227117952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19480 (or 19455 counting only the distinct ones).

The product of its digits is 70560, while the sum is 40.

The spelling of 22227117952 in words is "twenty-two billion, two hundred twenty-seven million, one hundred seventeen thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 169 208 212 338 416 424 676 689 832 848 1352 1378 1664 1696 2704 2756 3392 5408 5512 6784 8957 10816 11024 17914 19387 21632 22048 35828 38774 44096 71656 77548 88192 143312 155096 252031 286624 310192 504062 573248 620384 1008124 1027511 1146496 1240768 2016248 2055022 2481536 3276403 4032496 4110044 6552806 8064992 8220088 13105612 13357643 16129984 16440176 26211224 26715286 32259968 32880352 52422448 53430572 65760704 104844896 106861144 131521408 173649359 209689792 213722288 347298718 419379584 427444576 694597436 854889152 1389194872 1709778304 2778389744 5556779488 11113558976 22227117952