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2233240240 = 2457111919081
BaseRepresentation
bin1000010100011100…
…1000101010110000
312202122020100200111
42011013020222300
514033202141430
61005334031104
7106225141330
oct20507105260
95678210614
102233240240
11a466734a0
12523aa8494
1329789c43a
141728510c0
15d10d5c2a
hex851c8ab0

2233240240 has 160 divisors (see below), whose sum is σ = 6814563840. Its totient is φ = 659404800.

The previous prime is 2233240231. The next prime is 2233240253. The reversal of 2233240240 is 420423322.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 107500 + ... + 126580.

It is an arithmetic number, because the mean of its divisors is an integer number (42591024).

Almost surely, 22233240240 is an apocalyptic number.

2233240240 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 2233240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407281920).

2233240240 is an abundant number, since it is smaller than the sum of its proper divisors (4581323600).

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

2233240240 is a wasteful number, since it uses less digits than its factorization.

2233240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19131 (or 19125 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2233240240 is about 47257.1713076439. The cubic root of 2233240240 is about 1307.1090298483.

Adding to 2233240240 its reverse (420423322), we get a palindrome (2653663562).

The spelling of 2233240240 in words is "two billion, two hundred thirty-three million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 19 20 22 28 35 38 40 44 55 56 70 76 77 80 88 95 110 112 133 140 152 154 176 190 209 220 266 280 304 308 380 385 418 440 532 560 616 665 760 770 836 880 1045 1064 1232 1330 1463 1520 1540 1672 2090 2128 2660 2926 3080 3344 4180 5320 5852 6160 7315 8360 10640 11704 14630 16720 19081 23408 29260 38162 58520 76324 95405 117040 133567 152648 190810 209891 267134 305296 362539 381620 419782 534268 667835 725078 763240 839564 1049455 1068536 1335670 1450156 1469237 1526480 1679128 1812695 2098910 2137072 2537773 2671340 2900312 2938474 3358256 3625390 3987929 4197820 5075546 5342680 5800624 5876948 7250780 7346185 7975858 8395640 10151092 10685360 11753896 12688865 14501560 14692370 15951716 16791280 19939645 20302184 23507792 25377730 27915503 29003120 29384740 31903432 39879290 40604368 50755460 55831006 58769480 63806864 79758580 101510920 111662012 117538960 139577515 159517160 203021840 223324024 279155030 319034320 446648048 558310060 1116620120 2233240240