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253214010 = 232572771451
BaseRepresentation
bin11110001011110…
…11110100111010
3122122110121022200
433011323310322
51004310322020
641043131030
76163166160
oct1705736472
9578417280
10253214010
1111aa29485
1270973a76
13405c959a
14258b5230
151736b590
hexf17bd3a

253214010 has 96 divisors (see below), whose sum is σ = 755644032. Its totient is φ = 57628800.

The previous prime is 253214009. The next prime is 253214011. The reversal of 253214010 is 10412352.

It is an interprime number because it is at equal distance from previous prime (253214009) and next prime (253214011).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (253214011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173785 + ... + 175235.

It is an arithmetic number, because the mean of its divisors is an integer number (7871292).

Almost surely, 2253214010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253214010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377822016).

253214010 is an abundant number, since it is smaller than the sum of its proper divisors (502430022).

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

253214010 is a wasteful number, since it uses less digits than its factorization.

253214010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 253214010 is about 15912.6996452519. The cubic root of 253214010 is about 632.6486373896.

Adding to 253214010 its reverse (10412352), we get a palindrome (263626362).

The spelling of 253214010 in words is "two hundred fifty-three million, two hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 277 315 554 630 831 1385 1451 1662 1939 2493 2770 2902 3878 4155 4353 4986 5817 7255 8310 8706 9695 10157 11634 12465 13059 14510 17451 19390 20314 21765 24930 26118 29085 30471 34902 43530 50785 58170 60942 65295 87255 91413 101570 130590 152355 174510 182826 304710 401927 457065 803854 914130 1205781 2009635 2411562 2813489 3617343 4019270 5626978 6028905 7234686 8440467 12057810 14067445 16880934 18086715 25321401 28134890 36173430 42202335 50642802 84404670 126607005 253214010