Search a number
-
+
222026640 = 243511372273
BaseRepresentation
bin11010011101111…
…01101110010000
3120110210010021220
431032331232100
5423314323030
634010445040
75334123663
oct1516755620
9513703256
10222026640
111043679a0
1262433780
1336cca014
14216b76da
151475aa10
hexd3bdb90

222026640 has 160 divisors (see below), whose sum is σ = 771486336. Its totient is φ = 52346880.

The previous prime is 222026591. The next prime is 222026671. The reversal of 222026640 is 46620222.

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

It is a self number, because there is not a number n which added to its sum of digits gives 222026640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96544 + ... + 98816.

Almost surely, 2222026640 is an apocalyptic number.

222026640 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 222026640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385743168).

222026640 is an abundant number, since it is smaller than the sum of its proper divisors (549459696).

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

222026640 is a wasteful number, since it uses less digits than its factorization.

222026640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 222026640 is about 14900.5583787991. The cubic root of 222026640 is about 605.5291138782.

Adding to 222026640 its reverse (46620222), we get a palindrome (268646862).

The spelling of 222026640 in words is "two hundred twenty-two million, twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 37 40 44 48 55 60 66 74 80 88 110 111 120 132 148 165 176 185 220 222 240 264 296 330 370 407 440 444 528 555 592 660 740 814 880 888 1110 1221 1320 1480 1628 1776 2035 2220 2273 2442 2640 2960 3256 4070 4440 4546 4884 6105 6512 6819 8140 8880 9092 9768 11365 12210 13638 16280 18184 19536 22730 24420 25003 27276 32560 34095 36368 45460 48840 50006 54552 68190 75009 84101 90920 97680 100012 109104 125015 136380 150018 168202 181840 200024 250030 252303 272760 300036 336404 375045 400048 420505 500060 504606 545520 600072 672808 750090 841010 925111 1000120 1009212 1200144 1261515 1345616 1500180 1682020 1850222 2000240 2018424 2523030 2775333 3000360 3364040 3700444 4036848 4625555 5046060 5550666 6000720 6728080 7400888 9251110 10092120 11101332 13876665 14801776 18502220 20184240 22202664 27753330 37004440 44405328 55506660 74008880 111013320 222026640