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422115100 = 2252111722573
BaseRepresentation
bin11001001010001…
…111011100011100
31002102021200001121
4121022033130130
51331030140400
6105515220324
713313630161
oct3112173434
91072250047
10422115100
111a7300360
12b94476a4
13695b5664
14400c0068
15270d121a
hex1928f71c

422115100 has 72 divisors (see below), whose sum is σ = 1058088528. Its totient is φ = 144460800.

The previous prime is 422115041. The next prime is 422115103. The reversal of 422115100 is 1511224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422115103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7414 + ... + 29986.

It is an arithmetic number, because the mean of its divisors is an integer number (14695674).

Almost surely, 2422115100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422115100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529044264).

422115100 is an abundant number, since it is smaller than the sum of its proper divisors (635973428).

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

422115100 is a wasteful number, since it uses less digits than its factorization.

422115100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22615 (or 22608 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 422115100 is about 20545.4398833415. The cubic root of 422115100 is about 750.1422544980.

Adding to 422115100 its reverse (1511224), we get a palindrome (423626324).

It can be divided in two parts, 4221 and 15100, that added together give a square (19321 = 1392).

The spelling of 422115100 in words is "four hundred twenty-two million, one hundred fifteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 9350 18700 22573 45146 90292 112865 225730 248303 383741 451460 496606 564325 767482 993212 1128650 1241515 1534964 1918705 2257300 2483030 3837410 4221151 4966060 6207575 7674820 8442302 9593525 12415150 16884604 19187050 21105755 24830300 38374100 42211510 84423020 105528775 211057550 422115100