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8222140 = 2253741271
BaseRepresentation
bin11111010111010110111100
3120110201122201
4133113112330
54101102030
6452121244
7126613153
oct37272674
916421581
108222140
114706463
122906224
13191b594
14114059a
15ac62ca
hex7d75bc

8222140 has 48 divisors (see below), whose sum is σ = 18232704. Its totient is φ = 3110400.

The previous prime is 8222131. The next prime is 8222141. The reversal of 8222140 is 412228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8222141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30205 + ... + 30475.

It is an arithmetic number, because the mean of its divisors is an integer number (379848).

Almost surely, 28222140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8222140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9116352).

8222140 is an abundant number, since it is smaller than the sum of its proper divisors (10010564).

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

8222140 is a wasteful number, since it uses less digits than its factorization.

8222140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 356 counting only the distinct ones).

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

The square root of 8222140 is about 2867.4274184363. The cubic root of 8222140 is about 201.8342920982.

Adding to 8222140 its reverse (412228), we get a palindrome (8634368).

It can be divided in two parts, 82 and 22140, that added together give a palindrome (22222).

The spelling of 8222140 in words is "eight million, two hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 41 74 82 148 164 185 205 271 370 410 542 740 820 1084 1355 1517 2710 3034 5420 6068 7585 10027 11111 15170 20054 22222 30340 40108 44444 50135 55555 100270 111110 200540 222220 411107 822214 1644428 2055535 4111070 8222140