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2246225400 = 2332524329021
BaseRepresentation
bin1000010111100010…
…1010110111111000
312210112200001222100
42011320222313320
514100013203100
61010520223400
7106443413046
oct20570526770
95715601870
102246225400
11a52a32431
1252830ab60
1329a497973
14174471396
15d22ed400
hex85e2adf8

2246225400 has 144 divisors (see below), whose sum is σ = 7719271560. Its totient is φ = 585043200.

The previous prime is 2246225381. The next prime is 2246225417. The reversal of 2246225400 is 45226422.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 62890 + ... + 91910.

Almost surely, 22246225400 is an apocalyptic number.

2246225400 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 2246225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859635780).

2246225400 is an abundant number, since it is smaller than the sum of its proper divisors (5473046160).

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

2246225400 is a wasteful number, since it uses less digits than its factorization.

2246225400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29086 (or 29074 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2246225400 is about 47394.3604239998. The cubic root of 2246225400 is about 1309.6375276693.

The spelling of 2246225400 in words is "two billion, two hundred forty-six million, two hundred twenty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 43 45 50 60 72 75 86 90 100 120 129 150 172 180 200 215 225 258 300 344 360 387 430 450 516 600 645 774 860 900 1032 1075 1290 1548 1720 1800 1935 2150 2580 3096 3225 3870 4300 5160 6450 7740 8600 9675 12900 15480 19350 25800 29021 38700 58042 77400 87063 116084 145105 174126 232168 261189 290210 348252 435315 522378 580420 696504 725525 870630 1044756 1160840 1247903 1305945 1451050 1741260 2089512 2176575 2495806 2611890 2902100 3482520 3743709 4353150 4991612 5223780 5804200 6239515 6529725 7487418 8706300 9983224 10447560 11231127 12479030 13059450 14974836 17412600 18718545 22462254 24958060 26118900 29949672 31197575 37437090 44924508 49916120 52237800 56155635 62395150 74874180 89849016 93592725 112311270 124790300 149748360 187185450 224622540 249580600 280778175 374370900 449245080 561556350 748741800 1123112700 2246225400