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22214541524 = 2271973975897
BaseRepresentation
bin10100101100000101…
…110000000011010100
32010100011120122010012
4110230011300003110
5330443410312044
614112154415352
71414332326120
oct245405600324
963304518105
1022214541524
11946a59092a
12437b731558
13213042b036
14110a46a580
158a03ab59e
hex52c1700d4

22214541524 has 96 divisors (see below), whose sum is σ = 47904971520. Its totient is φ = 8802680832.

The previous prime is 22214541491. The next prime is 22214541539. The reversal of 22214541524 is 42514541222.

It is a super-3 number, since 3×222145415243 (a number of 32 digits) contains 333 as substring.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 3764144 + ... + 3770040.

It is an arithmetic number, because the mean of its divisors is an integer number (499010120).

Almost surely, 222214541524 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 22214541524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23952485760).

22214541524 is an abundant number, since it is smaller than the sum of its proper divisors (25690429996).

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

22214541524 is a wasteful number, since it uses less digits than its factorization.

22214541524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6097 (or 6095 counting only the distinct ones).

The product of its digits is 25600, while the sum is 32.

The spelling of 22214541524 in words is "twenty-two billion, two hundred fourteen million, five hundred forty-one thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 73 76 97 133 146 194 266 292 388 511 532 679 1022 1358 1387 1843 2044 2716 2774 3686 5548 5897 7081 7372 9709 11794 12901 14162 19418 23588 25802 28324 38836 41279 49567 51604 82558 99134 112043 134539 165116 198268 224086 269078 430481 448172 538156 572009 784301 860962 941773 1144018 1568602 1721924 1883546 2288036 3013367 3137204 3767092 4004063 6026734 8008126 8179139 10868171 12053468 16016252 16358278 21736342 32716556 41756657 43472684 57253973 76077197 83513314 114507946 152154394 167026628 229015892 292296599 304308788 584593198 793376483 1169186396 1586752966 3173505932 5553635381 11107270762 22214541524