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202990320 = 24335137229
BaseRepresentation
bin11000001100101…
…10001011110000
3112010221222101000
430012112023300
5403431142240
632050442000
75013250341
oct1406261360
9463858330
10202990320
11a46456a5
1257b93300
1333093420
141cd600c8
1512c4a430
hexc1962f0

202990320 has 160 divisors (see below), whose sum is σ = 753076800. Its totient is φ = 49959936.

The previous prime is 202990301. The next prime is 202990327. The reversal of 202990320 is 23099202.

202990320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202990327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24466 + ... + 31694.

It is an arithmetic number, because the mean of its divisors is an integer number (4706730).

Almost surely, 2202990320 is an apocalyptic number.

202990320 is a gapful number since it is divisible by the number (20) 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 202990320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376538400).

202990320 is an abundant number, since it is smaller than the sum of its proper divisors (550086480).

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

202990320 is a wasteful number, since it uses less digits than its factorization.

202990320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7264 (or 7252 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 202990320 is about 14247.4671433206. The cubic root of 202990320 is about 587.7037241265.

The spelling of 202990320 in words is "two hundred two million, nine hundred ninety thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 7229 9360 14040 14458 21687 28080 28916 36145 43374 57832 65061 72290 86748 93977 108435 115664 130122 144580 173496 187954 195183 216870 260244 281931 289160 325305 346992 375908 390366 433740 469885 520488 563862 578320 650610 751816 780732 845793 867480 939770 975915 1040976 1127724 1301220 1409655 1503632 1561464 1691586 1734960 1879540 1951830 2255448 2537379 2602440 2819310 3122928 3383172 3759080 3903660 4228965 4510896 5074758 5204880 5638620 6766344 7518160 7807320 8457930 10149516 11277240 12686895 13532688 15614640 16915860 20299032 22554480 25373790 33831720 40598064 50747580 67663440 101495160 202990320