Search a number
-
+
22830336 = 2835367
BaseRepresentation
bin101011100010…
…1110100000000
31120221220100000
41113011310000
521321032321
62133200000
7365024514
oct127056400
946856300
1022830336
1111983851
127790000
134964799
143064144
15200e826
hex15c5d00

22830336 has 108 divisors (see below), whose sum is σ = 68449472. Its totient is φ = 7589376.

The previous prime is 22830331. The next prime is 22830341. The reversal of 22830336 is 63303822.

It is an interprime number because it is at equal distance from previous prime (22830331) and next prime (22830341).

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22830331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62025 + ... + 62391.

Almost surely, 222830336 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 22830336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34224736).

22830336 is an abundant number, since it is smaller than the sum of its proper divisors (45619136).

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

22830336 is an frugal number, since it uses more digits than its factorization.

22830336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 22830336 is about 4778.1100866347. The cubic root of 22830336 is about 283.6856934104.

The spelling of 22830336 in words is "twenty-two million, eight hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 367 384 432 486 576 648 734 768 864 972 1101 1152 1296 1468 1728 1944 2202 2304 2592 2936 3303 3456 3888 4404 5184 5872 6606 6912 7776 8808 9909 10368 11744 13212 15552 17616 19818 20736 23488 26424 29727 31104 35232 39636 46976 52848 59454 62208 70464 79272 89181 93952 105696 118908 140928 158544 178362 211392 237816 281856 317088 356724 422784 475632 634176 713448 845568 951264 1268352 1426896 1902528 2536704 2853792 3805056 5707584 7610112 11415168 22830336