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22210021340 = 22513233523701
BaseRepresentation
bin10100101011110100…
…100000011111011100
32010022212001222120222
4110223310200133130
5330441231140330
614111513500512
71414246031543
oct245364403734
963285058528
1022210021340
119467a83841
12437a111738
13212c507780
141109a1115a
1589ecb70e5
hex52bd207dc

22210021340 has 96 divisors (see below), whose sum is σ = 50612942016. Its totient is φ = 8138188800.

The previous prime is 22210021333. The next prime is 22210021343. The reversal of 22210021340 is 4312001222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22210021343) 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, 31682990 + ... + 31683690.

It is an arithmetic number, because the mean of its divisors is an integer number (527218146).

Almost surely, 222210021340 is an apocalyptic number.

22210021340 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 22210021340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25306471008).

22210021340 is an abundant number, since it is smaller than the sum of its proper divisors (28402920676).

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

22210021340 is a wasteful number, since it uses less digits than its factorization.

22210021340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1477 counting only the distinct ones).

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

Adding to 22210021340 its reverse (4312001222), we get a palindrome (26522022562).

The spelling of 22210021340 in words is "twenty-two billion, two hundred ten million, twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 233 260 466 523 701 932 1046 1165 1402 2092 2330 2615 2804 3029 3505 4660 5230 6058 6799 7010 9113 10460 12116 13598 14020 15145 18226 27196 30290 33995 36452 45565 60580 67990 91130 121859 135980 163333 182260 243718 326666 366623 487436 609295 653332 733246 816665 1218590 1466492 1584167 1633330 1833115 2123329 2437180 3168334 3266660 3666230 4246658 4766099 6336668 7332460 7920835 8493316 9532198 10616645 15841670 19064396 21233290 23830495 31683340 42466580 47660990 85423159 95321980 170846318 341692636 427115795 854231590 1110501067 1708463180 2221002134 4442004268 5552505335 11105010670 22210021340