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2231951340 = 2235831273529
BaseRepresentation
bin1000010100001000…
…1101111111101100
312202112210212122110
42011002031333230
514032334420330
61005250244020
7106211162523
oct20502157754
95675725573
102231951340
11a45973093
12523586610
1329753a888
141725d74ba
15d0e2ddb0
hex8508dfec

2231951340 has 96 divisors (see below), whose sum is σ = 6376366080. Its totient is φ = 583220736.

The previous prime is 2231951329. The next prime is 2231951347. The reversal of 2231951340 is 431591322.

2231951340 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 3×22319513403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2231951298 and 2231951307.

It is not an unprimeable number, because it can be changed into a prime (2231951347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630696 + ... + 634224.

It is an arithmetic number, because the mean of its divisors is an integer number (66420480).

Almost surely, 22231951340 is an apocalyptic number.

2231951340 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 2231951340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188183040).

2231951340 is an abundant number, since it is smaller than the sum of its proper divisors (4144414740).

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

2231951340 is a wasteful number, since it uses less digits than its factorization.

2231951340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2231951340 is about 47243.5322557490. The cubic root of 2231951340 is about 1306.8575183131.

The spelling of 2231951340 in words is "two billion, two hundred thirty-one million, nine hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 127 166 249 254 332 381 415 498 508 635 762 830 996 1245 1270 1524 1660 1905 2490 2540 3529 3810 4980 7058 7620 10541 10587 14116 17645 21082 21174 31623 35290 42164 42348 52705 52935 63246 70580 105410 105870 126492 158115 210820 211740 292907 316230 448183 585814 632460 878721 896366 1171628 1344549 1464535 1757442 1792732 2240915 2689098 2929070 3514884 4393605 4481830 5378196 5858140 6722745 8787210 8963660 13445490 17574420 26890980 37199189 74398378 111597567 148796756 185995945 223195134 371991890 446390268 557987835 743983780 1115975670 2231951340