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22344341440 = 265374740153
BaseRepresentation
bin10100110011110100…
…111001011111000000
32010200012211011010111
4110303310321133000
5331230122411230
614133112441104
71420466524411
oct246364713700
963605734114
1022344341440
119526886493
1243b70a9194
1321512a6715
14111d7b7808
158ab99a92a
hex533d397c0

22344341440 has 112 divisors (see below), whose sum is σ = 55809562752. Its totient is φ = 8510939136.

The previous prime is 22344341431. The next prime is 22344341473. The reversal of 22344341440 is 4414344322.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 536404 + ... + 576556.

Almost surely, 222344341440 is an apocalyptic number.

22344341440 is a gapful number since it is divisible by the number (20) 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 22344341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27904781376).

22344341440 is an abundant number, since it is smaller than the sum of its proper divisors (33465221312).

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

22344341440 is a wasteful number, since it uses less digits than its factorization.

22344341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40254 (or 40244 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 22344341440 its reverse (4414344322), we get a palindrome (26758685762).

The spelling of 22344341440 in words is "twenty-two billion, three hundred forty-four million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 47 64 74 80 94 148 160 185 188 235 296 320 370 376 470 592 740 752 940 1184 1480 1504 1739 1880 2368 2960 3008 3478 3760 5920 6956 7520 8695 11840 13912 15040 17390 27824 34780 40153 55648 69560 80306 111296 139120 160612 200765 278240 321224 401530 556480 642448 803060 1284896 1485661 1606120 1887191 2569792 2971322 3212240 3774382 5942644 6424480 7428305 7548764 9435955 11885288 12848960 14856610 15097528 18871910 23770576 29713220 30195056 37743820 47541152 59426440 60390112 69826067 75487640 95082304 118852880 120780224 139652134 150975280 237705760 279304268 301950560 349130335 475411520 558608536 603901120 698260670 1117217072 1396521340 2234434144 2793042680 4468868288 5586085360 11172170720 22344341440