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2231151240 = 2335127281521
BaseRepresentation
bin1000010011111100…
…1010101010001000
312202111022020010010
42010333022222020
514032133314430
61005221151520
7106201321053
oct20477125210
95674266103
102231151240
11a45476a4a
1252325b5a0
1329731a646
14172469a9a
15d0d21cb0
hex84fcaa88

2231151240 has 128 divisors (see below), whose sum is σ = 6783160320. Its totient is φ = 587059200.

The previous prime is 2231151239. The next prime is 2231151253. The reversal of 2231151240 is 421511322.

It is a super-3 number, since 3×22311512403 (a number of 29 digits) contains 333 as substring.

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, 4282180 + ... + 4282700.

It is an arithmetic number, because the mean of its divisors is an integer number (52993440).

Almost surely, 22231151240 is an apocalyptic number.

2231151240 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 2231151240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391580160).

2231151240 is an abundant number, since it is smaller than the sum of its proper divisors (4552009080).

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

2231151240 is a wasteful number, since it uses less digits than its factorization.

2231151240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2231151240 is about 47235.0636709638. The cubic root of 2231151240 is about 1306.7013408240.

Adding to 2231151240 its reverse (421511322), we get a palindrome (2652662562).

The spelling of 2231151240 in words is "two billion, two hundred thirty-one million, one hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 281 381 508 521 562 635 762 843 1016 1042 1124 1270 1405 1524 1563 1686 1905 2084 2248 2540 2605 2810 3048 3126 3372 3810 4168 4215 5080 5210 5620 6252 6744 7620 7815 8430 10420 11240 12504 15240 15630 16860 20840 31260 33720 35687 62520 66167 71374 107061 132334 142748 146401 178435 198501 214122 264668 285496 292802 330835 356870 397002 428244 439203 529336 535305 585604 661670 713740 732005 794004 856488 878406 992505 1070610 1171208 1323340 1427480 1464010 1588008 1756812 1985010 2141220 2196015 2646680 2928020 3513624 3970020 4282440 4392030 5856040 7940040 8784060 17568120 18592927 37185854 55778781 74371708 92964635 111557562 148743416 185929270 223115124 278893905 371858540 446230248 557787810 743717080 1115575620 2231151240