Search a number
-
+
22440180 = 22357232101
BaseRepresentation
bin101010110011…
…0100011110100
31120020002010210
41111212203310
521221041210
62120545420
7361511160
oct125464364
946202123
1022440180
1111737704
127622270
134859019
142da1ca0
151e83e20
hex15668f4

22440180 has 144 divisors (see below), whose sum is σ = 75809664. Its totient is φ = 4857600.

The previous prime is 22440179. The next prime is 22440239. The reversal of 22440180 is 8104422.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222130 + ... + 222230.

It is an arithmetic number, because the mean of its divisors is an integer number (526456).

Almost surely, 222440180 is an apocalyptic number.

22440180 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 22440180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37904832).

22440180 is an abundant number, since it is smaller than the sum of its proper divisors (53369484).

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

22440180 is a wasteful number, since it uses less digits than its factorization.

22440180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 22440180 is about 4737.1067119076. The cubic root of 22440180 is about 282.0603965000.

It can be divided in two parts, 224 and 40180, that added together give a palindrome (40404).

The spelling of 22440180 in words is "twenty-two million, four hundred forty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 101 105 115 138 140 161 202 210 230 276 303 322 345 404 420 460 483 505 529 606 644 690 707 805 966 1010 1058 1212 1380 1414 1515 1587 1610 1932 2020 2116 2121 2323 2415 2645 2828 3030 3174 3220 3535 3703 4242 4646 4830 5290 6060 6348 6969 7070 7406 7935 8484 9292 9660 10580 10605 11109 11615 13938 14140 14812 15870 16261 18515 21210 22218 23230 27876 31740 32522 34845 37030 42420 44436 46460 48783 53429 55545 65044 69690 74060 81305 97566 106858 111090 139380 160287 162610 195132 213716 222180 243915 267145 320574 325220 374003 487830 534290 641148 748006 801435 975660 1068580 1122009 1496012 1602870 1870015 2244018 3205740 3740030 4488036 5610045 7480060 11220090 22440180