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22114341340 = 22571328334289
BaseRepresentation
bin10100100110000111…
…100001000111011100
32010002012000221022021
4110212013201013130
5330242232410330
614054215025524
71412004541240
oct244607410734
963065027267
1022114341340
119418a72a63
12435206b2a4
1321157473a0
1410db026420
158966b767a
hex5261e11dc

22114341340 has 96 divisors (see below), whose sum is σ = 57190573440. Its totient is φ = 6994722816.

The previous prime is 22114341313. The next prime is 22114341341. The reversal of 22114341340 is 4314341122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22114341341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5153916 + ... + 5158204.

It is an arithmetic number, because the mean of its divisors is an integer number (595735140).

Almost surely, 222114341340 is an apocalyptic number.

22114341340 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 22114341340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28595286720).

22114341340 is an abundant number, since it is smaller than the sum of its proper divisors (35076232100).

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

22114341340 is a wasteful number, since it uses less digits than its factorization.

22114341340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7151 (or 7149 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 22114341340 its reverse (4314341122), we get a palindrome (26428682462).

The spelling of 22114341340 in words is "twenty-two billion, one hundred fourteen million, three hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 2833 4289 5666 8578 11332 14165 17156 19831 21445 28330 30023 36829 39662 42890 55757 56660 60046 73658 79324 85780 99155 111514 120092 147316 150115 184145 198310 223028 257803 278785 300230 368290 390299 396620 515606 557570 600460 736580 780598 1031212 1115140 1289015 1561196 1951495 2578030 3902990 5156060 7805980 12150737 24301474 48602948 60753685 85055159 121507370 157959581 170110318 243014740 315919162 340220636 425275795 631838324 789797905 850551590 1105717067 1579595810 1701103180 2211434134 3159191620 4422868268 5528585335 11057170670 22114341340