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2254212420 = 2235375571823
BaseRepresentation
bin1000011001011100…
…1000110101000100
312211002200212002220
42012113020311010
514104034244140
61011403332340
7106601326605
oct20627106504
95732625086
102254212420
11a57498179
1252ab210b0
1329c033205
1417554ddac
15d2d79bd0
hex865c8d44

2254212420 has 96 divisors (see below), whose sum is σ = 6497584128. Its totient is φ = 583506432.

The previous prime is 2254212413. The next prime is 2254212473. The reversal of 2254212420 is 242124522.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1235629 + ... + 1237451.

It is an arithmetic number, because the mean of its divisors is an integer number (67683168).

Almost surely, 22254212420 is an apocalyptic number.

2254212420 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 2254212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248792064).

2254212420 is an abundant number, since it is smaller than the sum of its proper divisors (4243371708).

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

2254212420 is a wasteful number, since it uses less digits than its factorization.

2254212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2254212420 is about 47478.5469449098. The cubic root of 2254212420 is about 1311.1879401551.

Adding to 2254212420 its reverse (242124522), we get a palindrome (2496336942).

The spelling of 2254212420 in words is "two billion, two hundred fifty-four million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 557 740 1110 1114 1671 1823 2220 2228 2785 3342 3646 5469 5570 6684 7292 8355 9115 10938 11140 16710 18230 20609 21876 27345 33420 36460 41218 54690 61827 67451 82436 103045 109380 123654 134902 202353 206090 247308 269804 309135 337255 404706 412180 618270 674510 809412 1011765 1015411 1236540 1349020 2023530 2030822 3046233 4047060 4061644 5077055 6092466 10154110 12184932 15231165 20308220 30462330 37570207 60924660 75140414 112710621 150280828 187851035 225421242 375702070 450842484 563553105 751404140 1127106210 2254212420