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30198793284 = 223211226332
BaseRepresentation
bin11100000111111111…
…010000010001000100
32212221121100122111100
4130013333100101010
5443321342341114
621512332540100
72116232336052
oct340777202104
985847318440
1030198793284
1111897482400
125a29621630
132b0361906a
1416669d51d2
15bbb2e5909
hex707fd0444

30198793284 has 81 divisors (see below), whose sum is σ = 83938214269. Its totient is φ = 9147673920.

The previous prime is 30198793223. The next prime is 30198793333. The reversal of 30198793284 is 48239789103.

The square root of 30198793284 is 173778.

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

30198793284 is a `hidden beast` number, since 301 + 9 + 8 + 7 + 9 + 328 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4940684100 + 25258109184 = 70290^2 + 158928^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 30198793284.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11468032 + ... + 11470664.

Almost surely, 230198793284 is an apocalyptic number.

30198793284 is the 173778-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30198793284

30198793284 is an abundant number, since it is smaller than the sum of its proper divisors (53739420985).

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

30198793284 is a wasteful number, since it uses less digits than its factorization.

30198793284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 30198793284 in words is "thirty billion, one hundred ninety-eight million, seven hundred ninety-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 2633 4356 5266 7899 10532 15798 23697 28963 31596 47394 57926 86889 94788 115852 173778 260667 318593 347556 521334 637186 955779 1042668 1274372 1911558 2867337 3823116 5734674 6932689 11469348 13865378 20798067 27730756 41596134 62394201 76259579 83192268 124788402 152519158 228778737 249576804 305038316 457557474 686336211 838855369 915114948 1372672422 1677710738 2516566107 2745344844 3355421476 5033132214 7549698321 10066264428 15099396642 30198793284