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2231245240 = 2357171924671
BaseRepresentation
bin1000010011111110…
…0001100110111000
312202111111000001121
42010333201212320
514032144321430
61005223155024
7106202162110
oct20477414670
95674430047
102231245240
11a45530634
125232a5a74
13297351373
14172492040
15d0d3ea7a
hex84fe19b8

2231245240 has 128 divisors (see below), whose sum is σ = 6394982400. Its totient is φ = 682076160.

The previous prime is 2231245231. The next prime is 2231245267. The reversal of 2231245240 is 425421322.

2231245240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22312452403 (a number of 29 digits) contains 333 as substring.

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, 78105 + ... + 102775.

It is an arithmetic number, because the mean of its divisors is an integer number (49960800).

Almost surely, 22231245240 is an apocalyptic number.

2231245240 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 2231245240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197491200).

2231245240 is an abundant number, since it is smaller than the sum of its proper divisors (4163737160).

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

2231245240 is a wasteful number, since it uses less digits than its factorization.

2231245240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24725 (or 24721 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2231245240 is about 47236.0586840181. The cubic root of 2231245240 is about 1306.7196913209.

Adding to 2231245240 its reverse (425421322), we get a palindrome (2656666562).

The spelling of 2231245240 in words is "two billion, two hundred thirty-one million, two hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 19 20 28 34 35 38 40 56 68 70 76 85 95 119 133 136 140 152 170 190 238 266 280 323 340 380 476 532 595 646 665 680 760 952 1064 1190 1292 1330 1615 2261 2380 2584 2660 3230 4522 4760 5320 6460 9044 11305 12920 18088 22610 24671 45220 49342 90440 98684 123355 172697 197368 246710 345394 419407 468749 493420 690788 838814 863485 937498 986840 1381576 1677628 1726970 1874996 2097035 2343745 2935849 3281243 3355256 3453940 3749992 4194070 4687490 5871698 6562486 6907880 7968733 8388140 9374980 11743396 13124972 14679245 15937466 16406215 16776280 18749960 23486792 26249944 29358490 31874932 32812430 39843665 55781131 58716980 63749864 65624860 79687330 111562262 117433960 131249720 159374660 223124524 278905655 318749320 446249048 557811310 1115622620 2231245240