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252283900 = 2252111912071
BaseRepresentation
bin11110000100110…
…00101111111100
3122120201100110011
433002120233330
51004041041100
641011153004
76152243401
oct1702305774
9576640404
10252283900
1111a4536a0
12705a5764
134036211b
14257122a8
1517235bba
hexf098bfc

252283900 has 72 divisors (see below), whose sum is σ = 628709760. Its totient is φ = 86904000.

The previous prime is 252283883. The next prime is 252283901. The reversal of 252283900 is 9382252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252283901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14865 + ... + 26935.

It is an arithmetic number, because the mean of its divisors is an integer number (8732080).

Almost surely, 2252283900 is an apocalyptic number.

252283900 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 252283900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314354880).

252283900 is an abundant number, since it is smaller than the sum of its proper divisors (376425860).

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

252283900 is a wasteful number, since it uses less digits than its factorization.

252283900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12115 (or 12108 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 252283900 is about 15883.4473588072. The cubic root of 252283900 is about 631.8730684305.

The spelling of 252283900 in words is "two hundred fifty-two million, two hundred eighty-three thousand, nine hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 5225 10450 12071 20900 24142 48284 60355 120710 132781 229349 241420 265562 301775 458698 531124 603550 663905 917396 1146745 1207100 1327810 2293490 2522839 2655620 3319525 4586980 5045678 5733725 6639050 10091356 11467450 12614195 13278100 22934900 25228390 50456780 63070975 126141950 252283900