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30219650244 = 22327241392
BaseRepresentation
bin11100001001001110…
…110100010011000100
32220000001121021212100
4130021032310103010
5443342212301434
621514355552100
72116604534400
oct341116642304
986001537770
1030219650244
11118a8228563
125a345bb630
132b07a3c564
1416696a4100
15bbd065699
hex7093b44c4

30219650244 has 81 divisors (see below), whose sum is σ = 88881636207. Its totient is φ = 8632099728.

The previous prime is 30219650191. The next prime is 30219650257. The reversal of 30219650244 is 44205691203.

It is a happy number.

The square root of 30219650244 is 173838.

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

30219650244 is a `hidden beast` number, since 3 + 0 + 21 + 96 + 502 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30219650199 and 30219650208.

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, 7299127 + ... + 7303265.

Almost surely, 230219650244 is an apocalyptic number.

30219650244 is the 173838-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30219650244

30219650244 is an abundant number, since it is smaller than the sum of its proper divisors (58661985963).

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

30219650244 is an equidigital number, since it uses as much as digits as its factorization.

30219650244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8302 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 30219650244 by its sum of digits (36), we get a square (1087907408784 = 10430282).

30219650244 divided by its sum of digits (36) gives a square (839434729 = 289732).

The spelling of 30219650244 in words is "thirty billion, two hundred nineteen million, six hundred fifty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 4139 8278 12417 16556 24834 28973 37251 49668 57946 74502 86919 115892 149004 173838 202811 260757 347676 405622 521514 608433 811244 1043028 1216866 1825299 2433732 3650598 7301196 17131321 34262642 51393963 68525284 102787926 119919247 154181889 205575852 239838494 308363778 359757741 479676988 616727556 719515482 839434729 1079273223 1439030964 1678869458 2158546446 2518304187 3357738916 4317092892 5036608374 7554912561 10073216748 15109825122 30219650244