Search a number
-
+
202198114872 = 2332131491449823
BaseRepresentation
bin1011110001001111110…
…0100110001000111000
3201022220112102111020100
42330103330212020320
511303100204133442
6232515531155400
720415441422115
oct2742374461070
9638815374210
10202198114872
117882a623466
123322b8a5b60
13160b4840770
149b01dcb90c
1553d641c84c
hex2f13f26238

202198114872 has 96 divisors (see below), whose sum is σ = 593702928000. Its totient is φ = 61797212928.

The previous prime is 202198114849. The next prime is 202198114873. The reversal of 202198114872 is 278411891202.

202198114872 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202198114873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585448 + ... + 864375.

It is an arithmetic number, because the mean of its divisors is an integer number (6184405500).

Almost surely, 2202198114872 is an apocalyptic number.

It is an amenable number.

202198114872 is an abundant number, since it is smaller than the sum of its proper divisors (391504813128).

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

202198114872 is a wasteful number, since it uses less digits than its factorization.

202198114872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449997 (or 1449990 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 202198114872 in words is "two hundred two billion, one hundred ninety-eight million, one hundred fourteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 149 156 234 298 312 447 468 596 894 936 1192 1341 1788 1937 2682 3576 3874 5364 5811 7748 10728 11622 15496 17433 23244 34866 46488 69732 139464 1449823 2899646 4349469 5799292 8698938 11598584 13048407 17397876 18847699 26096814 34795752 37695398 52193628 56543097 75390796 104387256 113086194 150781592 169629291 216023627 226172388 339258582 432047254 452344776 648070881 678517164 864094508 1296141762 1357034328 1728189016 1944212643 2592283524 2808307151 3888425286 5184567048 5616614302 7776850572 8424921453 11233228604 15553701144 16849842906 22466457208 25274764359 33699685812 50549528718 67399371624 101099057436 202198114872