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255040224 = 25331431993
BaseRepresentation
bin11110011001110…
…01101011100000
3122202220101102020
433030321223200
51010242241344
641150221440
76214543335
oct1714715340
9582811366
10255040224
11120a6654a
12714b4880
1340ab889a
1425c2c98c
15175cc719
hexf339ae0

255040224 has 96 divisors (see below), whose sum is σ = 707503104. Its totient is φ = 80317440.

The previous prime is 255040217. The next prime is 255040231. The reversal of 255040224 is 422040552.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (255040217) and next prime (255040231).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 255040194 and 255040203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126972 + ... + 128964.

It is an arithmetic number, because the mean of its divisors is an integer number (7369824).

Almost surely, 2255040224 is an apocalyptic number.

255040224 is a gapful number since it is divisible by the number (24) 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 255040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353751552).

255040224 is an abundant number, since it is smaller than the sum of its proper divisors (452462880).

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

255040224 is a wasteful number, since it uses less digits than its factorization.

255040224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 255040224 is about 15969.9788353022. The cubic root of 255040224 is about 634.1659117247.

Adding to 255040224 its reverse (422040552), we get a palindrome (677080776).

The spelling of 255040224 in words is "two hundred fifty-five million, forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 43 48 62 86 93 96 124 129 172 186 248 258 344 372 496 516 688 744 992 1032 1333 1376 1488 1993 2064 2666 2976 3986 3999 4128 5332 5979 7972 7998 10664 11958 15944 15996 21328 23916 31888 31992 42656 47832 61783 63776 63984 85699 95664 123566 127968 171398 185349 191328 247132 257097 342796 370698 494264 514194 685592 741396 988528 1028388 1371184 1482792 1977056 2056776 2656669 2742368 2965584 4113552 5313338 5931168 7970007 8227104 10626676 15940014 21253352 31880028 42506704 63760056 85013408 127520112 255040224