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255752200 = 2352111011151
BaseRepresentation
bin11110011111001…
…11100000001000
3122211020120001201
433033213200020
51010433032300
641213353544
76223600144
oct1717474010
9584216051
10255752200
11121402460
12717988b4
1340ca7982
1425d76224
15176bd66a
hexf3e7808

255752200 has 96 divisors (see below), whose sum is σ = 655672320. Its totient is φ = 92000000.

The previous prime is 255752191. The next prime is 255752279. The reversal of 255752200 is 2257552.

255752200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221625 + ... + 222775.

It is an arithmetic number, because the mean of its divisors is an integer number (6829920).

Almost surely, 2255752200 is an apocalyptic number.

255752200 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 255752200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327836160).

255752200 is an abundant number, since it is smaller than the sum of its proper divisors (399920120).

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

255752200 is a wasteful number, since it uses less digits than its factorization.

255752200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 255752200 is about 15992.2543751655. The cubic root of 255752200 is about 634.7554806996.

The spelling of 255752200 in words is "two hundred fifty-five million, seven hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 1151 2020 2200 2222 2302 2525 4040 4444 4604 5050 5555 5755 8888 9208 10100 11110 11510 12661 20200 22220 23020 25322 27775 28775 44440 46040 50644 55550 57550 63305 101288 111100 115100 116251 126610 222200 230200 232502 253220 316525 465004 506440 581255 633050 930008 1162510 1266100 1278761 2325020 2532200 2557522 2906275 4650040 5115044 5812550 6393805 10230088 11625100 12787610 23250200 25575220 31969025 51150440 63938050 127876100 255752200