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30226416 = 243111923131
BaseRepresentation
bin111001101001…
…1011111110000
32002212122211220
41303103133300
530214221131
62555505040
7514630443
oct163233760
962778756
1030226416
1116075610
12a158180
13635406c
14402b65a
1529c0e96
hex1cd37f0

30226416 has 160 divisors (see below), whose sum is σ = 94279680. Its totient is φ = 8236800.

The previous prime is 30226409. The next prime is 30226421. The reversal of 30226416 is 61462203.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230671 + ... + 230801.

It is an arithmetic number, because the mean of its divisors is an integer number (589248).

Almost surely, 230226416 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 30226416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47139840).

30226416 is an abundant number, since it is smaller than the sum of its proper divisors (64053264).

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

30226416 is a wasteful number, since it uses less digits than its factorization.

30226416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 30226416 is about 5497.8555819519. The cubic root of 30226416 is about 311.5029890978.

Adding to 30226416 its reverse (61462203), we get a palindrome (91688619).

The spelling of 30226416 in words is "thirty million, two hundred twenty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 23 24 33 38 44 46 48 57 66 69 76 88 92 114 131 132 138 152 176 184 209 228 253 262 264 276 304 368 393 418 437 456 506 524 528 552 627 759 786 836 874 912 1012 1048 1104 1254 1311 1441 1518 1572 1672 1748 2024 2096 2489 2508 2622 2882 3013 3036 3144 3344 3496 4048 4323 4807 4978 5016 5244 5764 6026 6072 6288 6992 7467 8646 9039 9614 9956 10032 10488 11528 12052 12144 14421 14934 17292 18078 19228 19912 20976 23056 24104 27379 28842 29868 33143 34584 36156 38456 39824 48208 54758 57247 57684 59736 66286 69168 72312 76912 82137 99429 109516 114494 115368 119472 132572 144624 164274 171741 198858 219032 228988 230736 265144 328548 343482 397716 438064 457976 530288 629717 657096 686964 795432 915952 1259434 1314192 1373928 1590864 1889151 2518868 2747856 3778302 5037736 7556604 10075472 15113208 30226416