Search a number
-
+
30603956224 = 21237201937
BaseRepresentation
bin11100100000001000…
…110101000000000000
32220222211202001120011
4130200020311000000
51000134103044344
622020444554304
72132252223112
oct344010650000
986884661504
1030603956224
1111a85154306
125b21252994
132b6954764a
1416a47413b2
15be1b78d34
hex720235000

30603956224 has 52 divisors (see below), whose sum is σ = 62854818004. Its totient is φ = 14888337408.

The previous prime is 30603956111. The next prime is 30603956303. The reversal of 30603956224 is 42265930603.

It can be written as a sum of positive squares in 2 ways, for example, as 26384154624 + 4219801600 = 162432^2 + 64960^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50584 + ... + 252520.

Almost surely, 230603956224 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 30603956224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31427409002).

30603956224 is an abundant number, since it is smaller than the sum of its proper divisors (32250861780).

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

30603956224 is an equidigital number, since it uses as much as digits as its factorization.

30603956224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201998 (or 201976 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

It can be divided in two parts, 306039 and 56224, that added together give a palindrome (362263).

The spelling of 30603956224 in words is "thirty billion, six hundred three million, nine hundred fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 2048 2368 4096 4736 9472 18944 37888 75776 151552 201937 403874 807748 1615496 3230992 6461984 7471669 12923968 14943338 25847936 29886676 51695872 59773352 103391744 119546704 206783488 239093408 413566976 478186816 827133952 956373632 1912747264 3825494528 7650989056 15301978112 30603956224