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200220072 = 2331331127163
BaseRepresentation
bin10111110111100…
…01110110101000
3111221202020022020
423323301312220
5402224020242
631511224440
74650561663
oct1373616650
9457666266
10200220072
11a3023338
1257078120
1332633520
141c83c6da
151289e6ec
hexbef1da8

200220072 has 128 divisors (see below), whose sum is σ = 564264960. Its totient is φ = 58786560.

The previous prime is 200220023. The next prime is 200220073. The reversal of 200220072 is 270022002.

It is not an unprimeable number, because it can be changed into a prime (200220073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1228263 + ... + 1228425.

It is an arithmetic number, because the mean of its divisors is an integer number (4408320).

Almost surely, 2200220072 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 200220072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282132480).

200220072 is an abundant number, since it is smaller than the sum of its proper divisors (364044888).

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

200220072 is a wasteful number, since it uses less digits than its factorization.

200220072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 200220072 is about 14149.9142046869. The cubic root of 200220072 is about 585.0179671595.

Adding to 200220072 its reverse (270022002), we get a palindrome (470242074).

The spelling of 200220072 in words is "two hundred million, two hundred twenty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 127 156 163 186 248 254 312 326 372 381 403 489 508 652 744 762 806 978 1016 1209 1304 1524 1612 1651 1956 2119 2418 3048 3224 3302 3912 3937 4238 4836 4953 5053 6357 6604 7874 8476 9672 9906 10106 11811 12714 13208 15159 15748 16952 19812 20212 20701 23622 25428 30318 31496 39624 40424 41402 47244 50856 51181 60636 62103 65689 82804 94488 102362 121272 124206 131378 153543 165608 197067 204724 248412 262756 269113 307086 394134 409448 496824 525512 538226 614172 641731 788268 807339 1076452 1228344 1283462 1576536 1614678 1925193 2152904 2566924 3229356 3850386 5133848 6458712 7700772 8342503 15401544 16685006 25027509 33370012 50055018 66740024 100110036 200220072