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2254204420 = 22513172232287
BaseRepresentation
bin1000011001011100…
…0110111000000100
312211002200110010121
42012113012320010
514104034020140
61011403231324
7106601264356
oct20627067004
95732613117
102254204420
11a57492166
1252ab18544
1329c02c690
1417554b0d6
15d2d7764a
hex865c6e04

2254204420 has 96 divisors (see below), whose sum is σ = 5424427008. Its totient is φ = 779507712.

The previous prime is 2254204411. The next prime is 2254204453. The reversal of 2254204420 is 244024522.

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, 984517 + ... + 986803.

It is an arithmetic number, because the mean of its divisors is an integer number (56504448).

Almost surely, 22254204420 is an apocalyptic number.

2254204420 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 2254204420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712213504).

2254204420 is an abundant number, since it is smaller than the sum of its proper divisors (3170222588).

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

2254204420 is a wasteful number, since it uses less digits than its factorization.

2254204420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 2254204420 is about 47478.4626962584. The cubic root of 2254204420 is about 1311.1863890567.

Adding to 2254204420 its reverse (244024522), we get a palindrome (2498228942).

The spelling of 2254204420 in words is "two billion, two hundred fifty-four million, two hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 223 260 340 442 446 884 892 1105 1115 2210 2230 2287 2899 3791 4420 4460 4574 5798 7582 9148 11435 11596 14495 15164 18955 22870 28990 29731 37910 38879 45740 49283 57980 59462 75820 77758 98566 118924 148655 155516 194395 197132 246415 297310 388790 492830 505427 510001 594620 777580 985660 1010854 1020002 2021708 2040004 2527135 2550005 5054270 5100010 6630013 8670017 10108540 10200020 13260026 17340034 26520052 33150065 34680068 43350085 66300130 86700170 112710221 132600260 173400340 225420442 450840884 563551105 1127102210 2254204420