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33890220 = 223257132069
BaseRepresentation
bin1000000101000…
…1111110101100
32100202210122100
42001101332230
532133441340
63210215100
7561030210
oct201217654
970683570
1033890220
1118148251
12b424490
1370378b0
144702940
152e96830
hex2051fac

33890220 has 144 divisors (see below), whose sum is σ = 126584640. Its totient is φ = 7147008.

The previous prime is 33890203. The next prime is 33890237. The reversal of 33890220 is 2209833.

It is an interprime number because it is at equal distance from previous prime (33890203) and next prime (33890237).

It is a super-2 number, since 2×338902202 = 2297094023296800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15346 + ... + 17414.

It is an arithmetic number, because the mean of its divisors is an integer number (879060).

Almost surely, 233890220 is an apocalyptic number.

33890220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33890220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63292320).

33890220 is an abundant number, since it is smaller than the sum of its proper divisors (92694420).

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

33890220 is a wasteful number, since it uses less digits than its factorization.

33890220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 33890220 is about 5821.5307265358. The cubic root of 33890220 is about 323.6121330269.

The spelling of 33890220 in words is "thirty-three million, eight hundred ninety thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2069 2340 2730 3276 4095 4138 5460 6207 8190 8276 10345 12414 14483 16380 18621 20690 24828 26897 28966 31035 37242 41380 43449 53794 57932 62070 72415 74484 80691 86898 93105 107588 124140 130347 134485 144830 161382 173796 186210 188279 217245 242073 260694 268970 289660 322764 372420 376558 403455 434490 484146 521388 537940 564837 651735 753116 806910 868980 941395 968292 1129674 1210365 1303470 1613820 1694511 1882790 2259348 2420730 2606940 2824185 3389022 3765580 4841460 5648370 6778044 8472555 11296740 16945110 33890220