Search a number
-
+
42223000013300 = 225229127211144537
BaseRepresentation
bin10011001100110110011101…
…11010101100100111110100
312112111110221110122021121102
421212123032322230213310
521013240201000411200
6225444551201305232
711615340205302131
oct1146331672544764
9175443843567542
1042223000013300
11124a9745835507
12489b125335218
131a737c5213212
14a5d86593d588
154d34b54826d5
hex2666ceeac9f4

42223000013300 has 72 divisors (see below), whose sum is σ = 94790888958360. Its totient is φ = 16305517670400.

The previous prime is 42223000013287. The next prime is 42223000013393. The reversal of 42223000013300 is 331000032224.

It can be written as a sum of positive squares in 12 ways, for example, as 11087448167524 + 31135551845776 = 3329782^2 + 5579924^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36318632 + ... + 37463168.

Almost surely, 242223000013300 is an apocalyptic number.

It is an amenable number.

42223000013300 is an abundant number, since it is smaller than the sum of its proper divisors (52567888945060).

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

42223000013300 is a wasteful number, since it uses less digits than its factorization.

42223000013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157301 (or 1157294 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 42223000013300 its reverse (331000032224), we get a palindrome (42554000045524).

The spelling of 42223000013300 in words is "forty-two trillion, two hundred twenty-three billion, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 12721 25442 50884 63605 127210 254420 318025 368909 636050 737818 1144537 1272100 1475636 1844545 2289074 3689090 4578148 5722685 7378180 9222725 11445370 18445450 22890740 28613425 33191573 36890900 57226850 66383146 114453700 132766292 165957865 331915730 663831460 829789325 1659578650 3319157300 14559655177 29119310354 58238620708 72798275885 145596551770 291193103540 363991379425 422230000133 727982758850 844460000266 1455965517700 1688920000532 2111150000665 4222300001330 8444600002660 10555750003325 21111500006650 42223000013300