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22022341344 = 253366138561
BaseRepresentation
bin10100100000101000…
…100100001011100000
32002211202220212001000
4110200220210023200
5330100204410334
614041131112000
71406506545543
oct244050441340
962752825030
1022022341344
119381046003
1243272a2600
1320cc675013
1410ccb1885a
1588d593299
hex520a242e0

22022341344 has 96 divisors (see below), whose sum is σ = 64330670880. Its totient is φ = 7329484800.

The previous prime is 22022341337. The next prime is 22022341351. The reversal of 22022341344 is 44314322022.

22022341344 is a `hidden beast` number, since 2 + 20 + 223 + 413 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (22022341337) and next prime (22022341351).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551824 + ... + 590384.

It is an arithmetic number, because the mean of its divisors is an integer number (670111155).

Almost surely, 222022341344 is an apocalyptic number.

22022341344 is a gapful number since it is divisible by the number (24) 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 22022341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32165335440).

22022341344 is an abundant number, since it is smaller than the sum of its proper divisors (42308329536).

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

22022341344 is a wasteful number, since it uses less digits than its factorization.

22022341344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39241 (or 39227 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22022341344 its reverse (44314322022), we get a palindrome (66336663366).

The spelling of 22022341344 in words is "twenty-two billion, twenty-two million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 661 864 1322 1983 2644 3966 5288 5949 7932 10576 11898 15864 17847 21152 23796 31728 35694 38561 47592 63456 71388 77122 95184 115683 142776 154244 190368 231366 285552 308488 347049 462732 571104 616976 694098 925464 1041147 1233952 1388196 1850928 2082294 2776392 3701856 4164588 5552784 8329176 11105568 16658352 25488821 33316704 50977642 76466463 101955284 152932926 203910568 229399389 305865852 407821136 458798778 611731704 688198167 815642272 917597556 1223463408 1376396334 1835195112 2446926816 2752792668 3670390224 5505585336 7340780448 11011170672 22022341344