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22013410040 = 2354179169909
BaseRepresentation
bin10100100000000110…
…011111101011111000
32002211011010002120222
4110200012133223320
5330040413110130
614040211435212
71406340620006
oct244006375370
962734102528
1022013410040
119376aa5866
1243242b5b08
1320ca868a1b
1410cb871a76
1588c8cbce5
hex52019faf8

22013410040 has 64 divisors (see below), whose sum is σ = 51380784000. Its totient is φ = 8481807360.

The previous prime is 22013410021. The next prime is 22013410057. The reversal of 22013410040 is 4001431022.

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 15 ways as a sum of consecutive naturals, for example, 44606 + ... + 214514.

It is an arithmetic number, because the mean of its divisors is an integer number (802824750).

Almost surely, 222013410040 is an apocalyptic number.

22013410040 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 22013410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25690392000).

22013410040 is an abundant number, since it is smaller than the sum of its proper divisors (29367373960).

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

22013410040 is a wasteful number, since it uses less digits than its factorization.

22013410040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170040 (or 170036 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 22013410040 its reverse (4001431022), we get a palindrome (26014841062).

The spelling of 22013410040 in words is "twenty-two billion, thirteen million, four hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 79 82 158 164 205 316 328 395 410 632 790 820 1580 1640 3160 3239 6478 12956 16195 25912 32390 64780 129560 169909 339818 679636 849545 1359272 1699090 3398180 6796360 6966269 13422811 13932538 26845622 27865076 34831345 53691244 55730152 67114055 69662690 107382488 134228110 139325380 268456220 278650760 536912440 550335251 1100670502 2201341004 2751676255 4402682008 5503352510 11006705020 22013410040