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22360140 = 223251123491
BaseRepresentation
bin101010101001…
…1000001001100
31120002000100100
41111103001030
521211011030
62115131100
7361025625
oct125230114
946060310
1022360140
1111692560
1275a3a90
13482b76a
142d80a4c
151e6a360
hex155304c

22360140 has 144 divisors (see below), whose sum is σ = 77366016. Its totient is φ = 5174400.

The previous prime is 22360139. The next prime is 22360147. The reversal of 22360140 is 4106322.

It is a happy number.

22360140 is a `hidden beast` number, since 2 + 23 + 601 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22360147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45295 + ... + 45785.

It is an arithmetic number, because the mean of its divisors is an integer number (537264).

Almost surely, 222360140 is an apocalyptic number.

22360140 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 22360140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38683008).

22360140 is an abundant number, since it is smaller than the sum of its proper divisors (55005876).

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

22360140 is a wasteful number, since it uses less digits than its factorization.

22360140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 535 counting only the distinct ones).

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

The square root of 22360140 is about 4728.6509704143. The cubic root of 22360140 is about 281.7246444536.

Adding to 22360140 its reverse (4106322), we get a palindrome (26466462).

It can be divided in two parts, 22360 and 140, that added together give a square (22500 = 1502).

The spelling of 22360140 in words is "twenty-two million, three hundred sixty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 491 495 506 660 690 759 828 982 990 1012 1035 1265 1380 1473 1518 1964 1980 2070 2277 2455 2530 2946 3036 3795 4140 4419 4554 4910 5060 5401 5892 7365 7590 8838 9108 9820 10802 11293 11385 14730 15180 16203 17676 21604 22095 22586 22770 27005 29460 32406 33879 44190 45172 45540 48609 54010 56465 64812 67758 81015 88380 97218 101637 108020 112930 124223 135516 162030 169395 194436 203274 225860 243045 248446 324060 338790 372669 406548 486090 496892 508185 621115 677580 745338 972180 1016370 1118007 1242230 1490676 1863345 2032740 2236014 2484460 3726690 4472028 5590035 7453380 11180070 22360140