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22013212340 = 22574714232351
BaseRepresentation
bin10100100000000101…
…101111011010110100
32002211010202001101202
4110200011233122310
5330040340243330
614040203312032
71406336134430
oct244005573264
962733661352
1022013212340
119376980279
12432421b618
1320ca7c9a42
1410cb81d9c0
1588c88d445
hex52016f6b4

22013212340 has 96 divisors (see below), whose sum is σ = 54016671744. Its totient is φ = 7378473600.

The previous prime is 22013212339. The next prime is 22013212367. The reversal of 22013212340 is 4321231022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9362165 + ... + 9364515.

It is an arithmetic number, because the mean of its divisors is an integer number (562673664).

Almost surely, 222013212340 is an apocalyptic number.

22013212340 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 22013212340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27008335872).

22013212340 is an abundant number, since it is smaller than the sum of its proper divisors (32003459404).

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

22013212340 is a wasteful number, since it uses less digits than its factorization.

22013212340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22013212340 its reverse (4321231022), we get a palindrome (26334443362).

The spelling of 22013212340 in words is "twenty-two billion, thirteen million, two hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1423 1645 2351 2846 3290 4702 5692 6580 7115 9404 9961 11755 14230 16457 19922 23510 28460 32914 39844 47020 49805 65828 66881 82285 99610 110497 133762 164570 199220 220994 267524 329140 334405 441988 468167 552485 668810 773479 936334 1104970 1337620 1546958 1872668 2209940 2340835 3093916 3345473 3867395 4681670 6690946 7734790 9363340 13381892 15469580 16727365 23418311 33454730 46836622 66909460 93673244 117091555 157237231 234183110 314474462 468366220 628948924 786186155 1100660617 1572372310 2201321234 3144744620 4402642468 5503303085 11006606170 22013212340