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2219474244100 = 225219278412
BaseRepresentation
bin100000010011000010111…
…110010101001000000100
321212011211222100122012111
4200103002332111020010
5242330440401302400
64415340135430404
7316231432540651
oct40230276251004
97764758318174
102219474244100
117863013928a3
122ba195525404
131313ac358ab9
14795cd0b8c28
153cb00e683ba
hex204c2f95204

2219474244100 has 81 divisors (see below), whose sum is σ = 5083736222271. Its totient is φ = 840956659200.

The previous prime is 2219474244083. The next prime is 2219474244103. The reversal of 2219474244100 is 14424749122.

It is a happy number.

The square root of 2219474244100 is 1489790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 186249212356 + 2033225031744 = 431566^2 + 1425912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2219474244103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 283056180 + ... + 283064020.

Almost surely, 22219474244100 is an apocalyptic number.

2219474244100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2219474244100 is the 1489790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2219474244100

2219474244100 is an abundant number, since it is smaller than the sum of its proper divisors (2864261978171).

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

2219474244100 is an frugal number, since it uses more digits than its factorization.

2219474244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15734 (or 7867 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 2219474244100 in words is "two trillion, two hundred nineteen billion, four hundred seventy-four million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 475 722 950 1444 1805 1900 3610 7220 7841 9025 15682 18050 31364 36100 39205 78410 148979 156820 196025 297958 392050 595916 744895 784100 1489790 2830601 2979580 3724475 5661202 7448950 11322404 14153005 14897900 28306010 56612020 61481281 70765025 122962562 141530050 245925124 283060100 307406405 614812810 1168144339 1229625620 1537032025 2336288678 3074064050 4672577356 5840721695 6148128100 11681443390 22194742441 23362886780 29203608475 44389484882 58407216950 88778969764 110973712205 116814433900 221947424410 443894848820 554868561025 1109737122050 2219474244100