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22330080 = 253451723
BaseRepresentation
bin101010100101…
…1101011100000
31120000111010000
41111023223200
521204030310
62114340000
7360542163
oct125135340
946014100
1022330080
1111671a13
12758a600
13481ab86
142d73ada
151e614c0
hex154bae0

22330080 has 120 divisors (see below), whose sum is σ = 78852312. Its totient is φ = 5951232.

The previous prime is 22330069. The next prime is 22330081. The reversal of 22330080 is 8003322.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22330081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12099 + ... + 13821.

Almost surely, 222330080 is an apocalyptic number.

22330080 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 22330080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39426156).

22330080 is an abundant number, since it is smaller than the sum of its proper divisors (56522232).

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

22330080 is a wasteful number, since it uses less digits than its factorization.

22330080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 22330080 is about 4725.4714050558. The cubic root of 22330080 is about 281.5983417172.

It can be divided in two parts, 223 and 30080, that added together give a palindrome (30303).

The spelling of 22330080 in words is "twenty-two million, three hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 1723 2160 2592 3240 3446 4320 5169 6480 6892 8615 10338 12960 13784 15507 17230 20676 25845 27568 31014 34460 41352 46521 51690 55136 62028 68920 77535 82704 93042 103380 124056 137840 139563 155070 165408 186084 206760 232605 248112 275680 279126 310140 372168 413520 465210 496224 558252 620280 697815 744336 827040 930420 1116504 1240560 1395630 1488672 1860840 2233008 2481120 2791260 3721680 4466016 5582520 7443360 11165040 22330080