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233068416 = 2737312797
BaseRepresentation
bin11011110010001…
…01011110000000
3121020120002202120
431321011132000
5434131142131
635043244240
75530022520
oct1571053600
9536502676
10233068416
1110a619829
1266079680
1339394b09
1422d4d680
15156dc496
hexde45780

233068416 has 128 divisors (see below), whose sum is σ = 730613760. Its totient is φ = 64419840.

The previous prime is 233068403. The next prime is 233068427. The reversal of 233068416 is 614860332.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81930 + ... + 84726.

It is an arithmetic number, because the mean of its divisors is an integer number (5707920).

Almost surely, 2233068416 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 233068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365306880).

233068416 is an abundant number, since it is smaller than the sum of its proper divisors (497545344).

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

233068416 is a wasteful number, since it uses less digits than its factorization.

233068416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 233068416 is about 15266.5783985803. The cubic root of 233068416 is about 615.4051715697.

The spelling of 233068416 in words is "two hundred thirty-three million, sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1302 1344 1488 1736 1984 2604 2688 2797 2976 3472 3968 5208 5594 5952 6944 8391 10416 11188 11904 13888 16782 19579 20832 22376 27776 33564 39158 41664 44752 58737 67128 78316 83328 86707 89504 117474 134256 156632 173414 179008 234948 260121 268512 313264 346828 358016 469896 520242 537024 606949 626528 693656 939792 1040484 1074048 1213898 1253056 1387312 1820847 1879584 2080968 2427796 2506112 2774624 3641694 3759168 4161936 4855592 5549248 7283388 7518336 8323872 9711184 11098496 14566776 16647744 19422368 29133552 33295488 38844736 58267104 77689472 116534208 233068416