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202970072484 = 223141032
BaseRepresentation
bin1011110100000111110…
…1011000010110100100
3201101220100000000000000
42331001331120112210
511311140314304414
6233124305021300
720443534102314
oct2750175302644
9641810000000
10202970072484
1179096350663
1233406324830
13161a875570a
149b76737444
15542e0a5b09
hex2f41f585a4

202970072484 has 135 divisors (see below), whose sum is σ = 538019404923. Its totient is φ = 66999829752.

The previous prime is 202970072419. The next prime is 202970072497. The reversal of 202970072484 is 484270079202.

The square root of 202970072484 is 450522.

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

202970072484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 1970583177 + ... + 1970583279.

Almost surely, 2202970072484 is an apocalyptic number.

202970072484 is the 450522-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202970072484

202970072484 is an abundant number, since it is smaller than the sum of its proper divisors (335049332439).

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

202970072484 is an frugal number, since it uses more digits than its factorization.

202970072484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 202970072484 in words is "two hundred two billion, nine hundred seventy million, seventy-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 108 162 206 243 309 324 412 486 618 729 927 972 1236 1458 1854 2187 2781 2916 3708 4374 5562 6561 8343 8748 10609 11124 13122 16686 19683 21218 25029 26244 31827 33372 39366 42436 50058 59049 63654 75087 78732 95481 100116 118098 127308 150174 177147 190962 225261 236196 286443 300348 354294 381924 450522 531441 572886 675783 708588 859329 901044 1062882 1145772 1351566 1594323 1718658 2027349 2125764 2577987 2703132 3188646 3437316 4054698 4782969 5155974 6082047 6377292 7733961 8109396 9565938 10311948 12164094 15467922 18246141 19131876 23201883 24328188 30935844 36492282 46403766 54738423 69605649 72984564 92807532 109476846 139211298 164215269 208816947 218953692 278422596 328430538 417633894 492645807 626450841 656861076 835267788 985291614 1252901682 1879352523 1970583228 2505803364 3758705046 5638057569 7517410092 11276115138 16914172707 22552230276 33828345414 50742518121 67656690828 101485036242 202970072484