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22271340 = 22357134079
BaseRepresentation
bin101010011110…
…1010101101100
31112220111112110
41110331111230
521200140330
62113204020
7360206010
oct124752554
945814473
1022271340
1111631873
127560610
1347ca210
142d5a540
151e4ddb0
hex153d56c

22271340 has 96 divisors (see below), whose sum is σ = 76769280. Its totient is φ = 4697856.

The previous prime is 22271339. The next prime is 22271341. The reversal of 22271340 is 4317222.

It is an interprime number because it is at equal distance from previous prime (22271339) and next prime (22271341).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22271341) 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, 3421 + ... + 7499.

It is an arithmetic number, because the mean of its divisors is an integer number (799680).

Almost surely, 222271340 is an apocalyptic number.

22271340 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 22271340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38384640).

22271340 is an abundant number, since it is smaller than the sum of its proper divisors (54497940).

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

22271340 is a wasteful number, since it uses less digits than its factorization.

22271340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4111 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 22271340 is about 4719.2520593840. The cubic root of 22271340 is about 281.3512070334.

Adding to 22271340 its reverse (4317222), we get a palindrome (26588562).

The spelling of 22271340 in words is "twenty-two million, two hundred seventy-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 4079 5460 8158 12237 16316 20395 24474 28553 40790 48948 53027 57106 61185 81580 85659 106054 114212 122370 142765 159081 171318 212108 244740 265135 285530 318162 342636 371189 428295 530270 571060 636324 742378 795405 856590 1060540 1113567 1484756 1590810 1713180 1855945 2227134 3181620 3711890 4454268 5567835 7423780 11135670 22271340