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220053240 = 233351118523
BaseRepresentation
bin11010001110110…
…11111011111000
3120100001212022000
431013123323320
5422313200430
633500301000
75311264431
oct1507337370
9510055260
10220053240
1110323a290
1261841760
1336788a24
1421322488
15144bae60
hexd1dbef8

220053240 has 128 divisors (see below), whose sum is σ = 800236800. Its totient is φ = 53343360.

The previous prime is 220053227. The next prime is 220053257. The reversal of 220053240 is 42350022.

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

It is a congruent number.

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, 2619 + ... + 21141.

It is an arithmetic number, because the mean of its divisors is an integer number (6251850).

Almost surely, 2220053240 is an apocalyptic number.

220053240 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 220053240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400118400).

220053240 is an abundant number, since it is smaller than the sum of its proper divisors (580183560).

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

220053240 is a wasteful number, since it uses less digits than its factorization.

220053240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18554 (or 18544 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 220053240 is about 14834.1915856578. The cubic root of 220053240 is about 603.7297666920.

The spelling of 220053240 in words is "two hundred twenty million, fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 18523 37046 55569 74092 92615 111138 148184 166707 185230 203753 222276 277845 333414 370460 407506 444552 500121 555690 611259 666828 740920 815012 833535 1000242 1018765 1111380 1222518 1333656 1630024 1667070 1833777 2000484 2037530 2222760 2445036 2500605 3056295 3334140 3667554 4000968 4075060 4890072 5001210 5501331 6112590 6668280 7335108 8150120 9168885 10002420 11002662 12225180 14670216 18337770 20004840 22005324 24450360 27506655 36675540 44010648 55013310 73351080 110026620 220053240