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2231352240 = 2435131136329
BaseRepresentation
bin1000010011111111…
…1011101110110000
312202111200102211120
42010333323232300
514032211232430
61005225342240
7106203116055
oct20477735660
95674612746
102231352240
11a455a3a67
12523337980
1329738ac90
141724bd02c
15d0d61610
hex84ffbbb0

2231352240 has 160 divisors (see below), whose sum is σ = 7516393920. Its totient is φ = 544309248.

The previous prime is 2231352209. The next prime is 2231352241. The reversal of 2231352240 is 422531322.

It is a super-3 number, since 3×22313522403 (a number of 29 digits) contains 333 as substring.

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 2231352240.

It is not an unprimeable number, because it can be changed into a prime (2231352241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349396 + ... + 355724.

It is an arithmetic number, because the mean of its divisors is an integer number (46977462).

Almost surely, 22231352240 is an apocalyptic number.

2231352240 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 2231352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758196960).

2231352240 is an abundant number, since it is smaller than the sum of its proper divisors (5285041680).

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

2231352240 is a wasteful number, since it uses less digits than its factorization.

2231352240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6471 (or 6465 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2231352240 is about 47237.1912797533. The cubic root of 2231352240 is about 1306.7405790251.

Adding to 2231352240 its reverse (422531322), we get a palindrome (2653883562).

The spelling of 2231352240 in words is "two billion, two hundred thirty-one million, three hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 113 120 130 156 195 208 226 240 260 312 339 390 452 520 565 624 678 780 904 1040 1130 1356 1469 1560 1695 1808 2260 2712 2938 3120 3390 4407 4520 5424 5876 6329 6780 7345 8814 9040 11752 12658 13560 14690 17628 18987 22035 23504 25316 27120 29380 31645 35256 37974 44070 50632 58760 63290 70512 75948 82277 88140 94935 101264 117520 126580 151896 164554 176280 189870 246831 253160 303792 329108 352560 379740 411385 493662 506320 658216 715177 759480 822770 987324 1234155 1316432 1430354 1518960 1645540 1974648 2145531 2468310 2860708 3291080 3575885 3949296 4291062 4936620 5721416 6582160 7151770 8582124 9297301 9873240 10727655 11442832 14303540 17164248 18594602 19746480 21455310 27891903 28607080 34328496 37189204 42910620 46486505 55783806 57214160 74378408 85821240 92973010 111567612 139459515 148756816 171642480 185946020 223135224 278919030 371892040 446270448 557838060 743784080 1115676120 2231352240