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22289680 = 245753751
BaseRepresentation
bin101010100000…
…1110100010000
31112221102200201
41111001310100
521201232210
62113424544
7360313330
oct125016420
945842621
1022289680
1111644626
12756b154
13480567a
142d630c0
151e5453a
hex1541d10

22289680 has 80 divisors (see below), whose sum is σ = 60424704. Its totient is φ = 7488000.

The previous prime is 22289671. The next prime is 22289689. The reversal of 22289680 is 8698222.

It is an interprime number because it is at equal distance from previous prime (22289671) and next prime (22289689).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (22289689) 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, 29305 + ... + 30055.

Almost surely, 222289680 is an apocalyptic number.

22289680 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 22289680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30212352).

22289680 is an abundant number, since it is smaller than the sum of its proper divisors (38135024).

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

22289680 is a wasteful number, since it uses less digits than its factorization.

22289680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 22289680 is about 4721.1947640401. The cubic root of 22289680 is about 281.4284148620.

The spelling of 22289680 in words is "twenty-two million, two hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 140 212 265 280 371 424 530 560 742 751 848 1060 1484 1502 1855 2120 2968 3004 3710 3755 4240 5257 5936 6008 7420 7510 10514 12016 14840 15020 21028 26285 29680 30040 39803 42056 52570 60080 79606 84112 105140 159212 199015 210280 278621 318424 398030 420560 557242 636848 796060 1114484 1393105 1592120 2228968 2786210 3184240 4457936 5572420 11144840 22289680