Search a number
-
+
2202314240 = 2957592083
BaseRepresentation
bin1000001101000100…
…1010011000000000
312200111001011012002
42003101022120000
514002243023430
61002311123132
7105401235140
oct20321123000
95614034162
102202314240
11a30170315
125156734a8
13291361b29
1416c6c0920
15cd527845
hex8344a600

2202314240 has 160 divisors (see below), whose sum is σ = 6139964160. Its totient is φ = 741924864.

The previous prime is 2202314159. The next prime is 2202314267. The reversal of 2202314240 is 424132022.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1056239 + ... + 1058321.

It is an arithmetic number, because the mean of its divisors is an integer number (38374776).

Almost surely, 22202314240 is an apocalyptic number.

2202314240 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 2202314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069982080).

2202314240 is an abundant number, since it is smaller than the sum of its proper divisors (3937649920).

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

2202314240 is an equidigital number, since it uses as much as digits as its factorization.

2202314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2202314240 is about 46928.8209952051. The cubic root of 2202314240 is about 1301.0473295748.

Adding to 2202314240 its reverse (424132022), we get a palindrome (2626446262).

It can be divided in two parts, 22023 and 14240, that added together give a palindrome (36263).

The spelling of 2202314240 in words is "two billion, two hundred two million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 64 70 80 112 118 128 140 160 224 236 256 280 295 320 413 448 472 512 560 590 640 826 896 944 1120 1180 1280 1652 1792 1888 2065 2083 2240 2360 2560 3304 3584 3776 4130 4166 4480 4720 6608 7552 8260 8332 8960 9440 10415 13216 14581 15104 16520 16664 17920 18880 20830 26432 29162 30208 33040 33328 37760 41660 52864 58324 66080 66656 72905 75520 83320 105728 116648 122897 132160 133312 145810 151040 166640 211456 233296 245794 264320 266624 291620 333280 466592 491588 528640 533248 583240 614485 666560 860279 933184 983176 1057280 1066496 1166480 1228970 1333120 1720558 1866368 1966352 2332960 2457940 2666240 3441116 3732736 3932704 4301395 4665920 4915880 5332480 6882232 7465472 7865408 8602790 9331840 9831760 13764464 15730816 17205580 18663680 19663520 27528928 31461632 34411160 37327360 39327040 55057856 62923264 68822320 78654080 110115712 137644640 157308160 220231424 275289280 314616320 440462848 550578560 1101157120 2202314240