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253331000 = 23531321499
BaseRepresentation
bin11110001100110…
…00011000111000
3122122200112210122
433012120120320
51004323043000
641045432412
76164164226
oct1706303070
9578615718
10253331000
1111aaa936a
1270a0b708
134063a900
1425905b16
1517391085
hexf198638

253331000 has 96 divisors (see below), whose sum is σ = 642330000. Its totient is φ = 93475200.

The previous prime is 253330949. The next prime is 253331011. The reversal of 253331000 is 133352.

It is a super-2 number, since 2×2533310002 = 128353191122000000, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 253331000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168251 + ... + 169749.

Almost surely, 2253331000 is an apocalyptic number.

253331000 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 253331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321165000).

253331000 is an abundant number, since it is smaller than the sum of its proper divisors (388999000).

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

253331000 is a wasteful number, since it uses less digits than its factorization.

253331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 253331000 is about 15916.3752154817. The cubic root of 253331000 is about 632.7460545486.

Adding to 253331000 its reverse (133352), we get a palindrome (253464352).

It can be divided in two parts, 2533 and 31000, that added together give a palindrome (33533).

The spelling of 253331000 in words is "two hundred fifty-three million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 169 200 250 260 325 338 500 520 650 676 845 1000 1300 1352 1499 1625 1690 2600 2998 3250 3380 4225 5996 6500 6760 7495 8450 11992 13000 14990 16900 19487 21125 29980 33800 37475 38974 42250 59960 74950 77948 84500 97435 149900 155896 169000 187375 194870 253331 299800 374750 389740 487175 506662 749500 779480 974350 1013324 1266655 1499000 1948700 2026648 2435875 2533310 3897400 4871750 5066620 6333275 9743500 10133240 12666550 19487000 25333100 31666375 50666200 63332750 126665500 253331000