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2245993420 = 22511171931607
BaseRepresentation
bin1000010111011111…
…0010001111001100
312210112020021202111
42011313302033030
514044433242140
61010511233404
7106441425526
oct20567621714
95715207674
102245993420
11a52894110
12528218864
1329a4161b8
14174410a16
15d22a47ea
hex85df23cc

2245993420 has 96 divisors (see below), whose sum is σ = 5734955520. Its totient is φ = 728202240.

The previous prime is 2245993417. The next prime is 2245993423. The reversal of 2245993420 is 243995422.

It is an interprime number because it is at equal distance from previous prime (2245993417) and next prime (2245993423).

It is not an unprimeable number, because it can be changed into a prime (2245993423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55257 + ... + 86863.

It is an arithmetic number, because the mean of its divisors is an integer number (59739120).

Almost surely, 22245993420 is an apocalyptic number.

2245993420 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 2245993420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867477760).

2245993420 is an abundant number, since it is smaller than the sum of its proper divisors (3488962100).

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

2245993420 is a wasteful number, since it uses less digits than its factorization.

2245993420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31663 (or 31661 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 2245993420 is about 47391.9130232153. The cubic root of 2245993420 is about 1309.5924416370.

The spelling of 2245993420 in words is "two billion, two hundred forty-five million, nine hundred ninety-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 19 20 22 34 38 44 55 68 76 85 95 110 170 187 190 209 220 323 340 374 380 418 646 748 836 935 1045 1292 1615 1870 2090 3230 3553 3740 4180 6460 7106 14212 17765 31607 35530 63214 71060 126428 158035 316070 347677 537319 600533 632140 695354 1074638 1201066 1390708 1738385 2149276 2402132 2686595 3002665 3476770 5373190 5910509 6005330 6605863 6953540 10209061 10746380 11821018 12010660 13211726 20418122 23642036 26423452 29552545 33029315 40836244 51045305 59105090 66058630 102090610 112299671 118210180 132117260 204181220 224599342 449198684 561498355 1122996710 2245993420