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30226944 = 293111789
BaseRepresentation
bin111001101001…
…1101000000000
32002212200120110
41303103220000
530214230234
62555511320
7514632126
oct163235000
962780513
1030226944
1116075a50
12a158540
136354387
14402b916
1529c11e9
hex1cd3a00

30226944 has 80 divisors (see below), whose sum is σ = 87896160. Its totient is φ = 9154560.

The previous prime is 30226927. The next prime is 30226949. The reversal of 30226944 is 44962203.

It is not an unprimeable number, because it can be changed into a prime (30226949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16002 + ... + 17790.

It is an arithmetic number, because the mean of its divisors is an integer number (1098702).

Almost surely, 230226944 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 30226944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43948080).

30226944 is an abundant number, since it is smaller than the sum of its proper divisors (57669216).

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

30226944 is a wasteful number, since it uses less digits than its factorization.

30226944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 30226944 is about 5497.9036004645. The cubic root of 30226944 is about 311.5048028824.

The spelling of 30226944 in words is "thirty million, two hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 1789 2112 2816 3578 4224 5367 5632 7156 8448 10734 14312 16896 19679 21468 28624 39358 42936 57248 59037 78716 85872 114496 118074 157432 171744 228992 236148 314864 343488 457984 472296 629728 686976 915968 944592 1259456 1373952 1889184 2518912 2747904 3778368 5037824 7556736 10075648 15113472 30226944