Search a number
-
+
2225141340 = 2235415915331
BaseRepresentation
bin1000010010100000…
…1111011001011100
312202001222220002020
42010220033121130
514024114010330
61004444300140
7106066250352
oct20450173134
95661886066
102225141340
11a42041694
12521241650
13295cc4ca6
141717437d2
15d0536210
hex84a0f65c

2225141340 has 96 divisors (see below), whose sum is σ = 6490955520. Its totient is φ = 569049600.

The previous prime is 2225141333. The next prime is 2225141341. The reversal of 2225141340 is 431415222.

It is a self number, because there is not a number n which added to its sum of digits gives 2225141340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225141341) 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, 137475 + ... + 152805.

It is an arithmetic number, because the mean of its divisors is an integer number (67614120).

Almost surely, 22225141340 is an apocalyptic number.

2225141340 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 2225141340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245477760).

2225141340 is an abundant number, since it is smaller than the sum of its proper divisors (4265814180).

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

2225141340 is a wasteful number, since it uses less digits than its factorization.

2225141340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15443 (or 15441 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2225141340 is about 47171.4038374946. The cubic root of 2225141340 is about 1305.5270283618.

Adding to 2225141340 its reverse (431415222), we get a palindrome (2656556562).

The spelling of 2225141340 in words is "two billion, two hundred twenty-five million, one hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 59 60 82 118 123 164 177 205 236 246 295 354 410 492 590 615 708 820 885 1180 1230 1770 2419 2460 3540 4838 7257 9676 12095 14514 15331 24190 29028 30662 36285 45993 48380 61324 72570 76655 91986 145140 153310 183972 229965 306620 459930 628571 904529 919860 1257142 1809058 1885713 2514284 2713587 3142855 3618116 3771426 4522645 5427174 6285710 7542852 9045290 9428565 10854348 12571420 13567935 18090580 18857130 27135870 37085689 37714260 54271740 74171378 111257067 148342756 185428445 222514134 370856890 445028268 556285335 741713780 1112570670 2225141340