Search a number
-
+
22307136 = 263223521
BaseRepresentation
bin101010100011…
…0000101000000
31112222022122020
41111012011000
521202312021
62114041440
7360415245
oct125060500
945868566
1022307136
1111656755
127579280
1348105b7
142d695cc
151e597c6
hex1546140

22307136 has 56 divisors (see below), whose sum is σ = 59399424. Its totient is φ = 7388160.

The previous prime is 22307107. The next prime is 22307147. The reversal of 22307136 is 63170322.

It is a super-3 number, since 3×223071363 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42556 + ... + 43076.

It is an arithmetic number, because the mean of its divisors is an integer number (1060704).

Almost surely, 222307136 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 22307136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29699712).

22307136 is an abundant number, since it is smaller than the sum of its proper divisors (37092288).

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

22307136 is a wasteful number, since it uses less digits than its factorization.

22307136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 22307136 is about 4723.0430868244. The cubic root of 22307136 is about 281.5018618943.

Adding to 22307136 its reverse (63170322), we get a palindrome (85477458).

The spelling of 22307136 in words is "twenty-two million, three hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 223 446 521 669 892 1042 1338 1563 1784 2084 2676 3126 3568 4168 5352 6252 7136 8336 10704 12504 14272 16672 21408 25008 33344 42816 50016 100032 116183 232366 348549 464732 697098 929464 1394196 1858928 2788392 3717856 5576784 7435712 11153568 22307136