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2223040240 = 245296471481
BaseRepresentation
bin1000010010000000…
…1110011011110000
312201221001010220201
42010200032123300
514023044241430
61004331244544
7106042346611
oct20440163360
95657033821
102223040240
11a40937043
125205a9754
1329573a835
14171357c08
15d026d8ca
hex8480e6f0

2223040240 has 80 divisors (see below), whose sum is σ = 5358674880. Its totient is φ = 856647680.

The previous prime is 2223040231. The next prime is 2223040243. The reversal of 2223040240 is 420403222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223040243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1500300 + ... + 1501780.

It is an arithmetic number, because the mean of its divisors is an integer number (66983436).

Almost surely, 22223040240 is an apocalyptic number.

2223040240 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 2223040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679337440).

2223040240 is an abundant number, since it is smaller than the sum of its proper divisors (3135634640).

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

2223040240 is a wasteful number, since it uses less digits than its factorization.

2223040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2223040240 is about 47149.1276695550. The cubic root of 2223040240 is about 1305.1159823127.

Adding to 2223040240 its reverse (420403222), we get a palindrome (2643443462).

The spelling of 2223040240 in words is "two billion, two hundred twenty-three million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 647 1160 1294 1481 2320 2588 2962 3235 5176 5924 6470 7405 10352 11848 12940 14810 18763 23696 25880 29620 37526 42949 51760 59240 75052 85898 93815 118480 150104 171796 187630 214745 300208 343592 375260 429490 687184 750520 858980 958207 1501040 1717960 1916414 3435920 3832828 4791035 7665656 9582070 15331312 19164140 27788003 38328280 55576006 76656560 111152012 138940015 222304024 277880030 444608048 555760060 1111520120 2223040240