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22820140 = 22571923373
BaseRepresentation
bin101011100001…
…1010100101100
31120221101100101
41113003110230
521320221030
62133040444
7364653010
oct127032454
946841311
1022820140
1111977122
127786124
13495cc55
143060540
15200b7ca
hex15c352c

22820140 has 96 divisors (see below), whose sum is σ = 60318720. Its totient is φ = 7070976.

The previous prime is 22820113. The next prime is 22820141. The reversal of 22820140 is 4102822.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (22820141) 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, 60994 + ... + 61366.

It is an arithmetic number, because the mean of its divisors is an integer number (628320).

Almost surely, 222820140 is an apocalyptic number.

22820140 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 22820140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30159360).

22820140 is an abundant number, since it is smaller than the sum of its proper divisors (37498580).

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

22820140 is a wasteful number, since it uses less digits than its factorization.

22820140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 22820140 is about 4777.0430184372. The cubic root of 22820140 is about 283.6434558947.

Adding to 22820140 its reverse (4102822), we get a palindrome (26922962).

The spelling of 22820140 in words is "twenty-two million, eight hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 23 28 35 38 46 70 76 92 95 115 133 140 161 190 230 266 322 373 380 437 460 532 644 665 746 805 874 1330 1492 1610 1748 1865 2185 2611 2660 3059 3220 3730 4370 5222 6118 7087 7460 8579 8740 10444 12236 13055 14174 15295 17158 26110 28348 30590 34316 35435 42895 49609 52220 60053 61180 70870 85790 99218 120106 141740 163001 171580 198436 240212 248045 300265 326002 496090 600530 652004 815005 992180 1141007 1201060 1630010 2282014 3260020 4564028 5705035 11410070 22820140