Search a number
-
+
2254899372 = 2231128917449
BaseRepresentation
bin1000011001100111…
…0000100010101100
312211010222202102120
42012121300202230
514104223234442
61011430152540
7106610220435
oct20631604254
95733882376
102254899372
11a57917300
1252b1b2750
1329c213aab
1417568c48c
15d2e634ec
hex866708ac

2254899372 has 72 divisors (see below), whose sum is σ = 5848542000. Its totient is φ = 675586560.

The previous prime is 2254899371. The next prime is 2254899373. The reversal of 2254899372 is 2739984522.

It is an interprime number because it is at equal distance from previous prime (2254899371) and next prime (2254899373).

It is not an unprimeable number, because it can be changed into a prime (2254899371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120504 + ... + 137952.

It is an arithmetic number, because the mean of its divisors is an integer number (81229750).

Almost surely, 22254899372 is an apocalyptic number.

2254899372 is a gapful number since it is divisible by the number (22) 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 2254899372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924271000).

2254899372 is an abundant number, since it is smaller than the sum of its proper divisors (3593642628).

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

2254899372 is a wasteful number, since it uses less digits than its factorization.

2254899372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17567 (or 17554 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 2254899372 is about 47485.7807348684. The cubic root of 2254899372 is about 1311.3211177399.

The spelling of 2254899372 in words is "two billion, two hundred fifty-four million, eight hundred ninety-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 121 132 178 242 267 356 363 484 534 726 979 1068 1452 1958 2937 3916 5874 10769 11748 17449 21538 32307 34898 43076 52347 64614 69796 104694 129228 191939 209388 383878 575817 767756 1151634 1552961 2111329 2303268 3105922 4222658 4658883 6211844 6333987 8445316 9317766 12667974 17082571 18635532 25335948 34165142 51247713 68330284 102495426 187908281 204990852 375816562 563724843 751633124 1127449686 2254899372