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253133166 = 231113312307
BaseRepresentation
bin11110001011010…
…00000101101110
3122122022111102110
433011220011232
51004300230131
641041304450
76162411366
oct1705500556
9578274373
10253133166
1111a983770
1270935126
134059b850
14258939a6
1517352646
hexf16816e

253133166 has 96 divisors (see below), whose sum is σ = 616581504. Its totient is φ = 68299200.

The previous prime is 253133161. The next prime is 253133171. The reversal of 253133166 is 661331352.

It is a happy number.

253133166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253133161) and next prime (253133171).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253133161) 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, 824385 + ... + 824691.

It is an arithmetic number, because the mean of its divisors is an integer number (6422724).

Almost surely, 2253133166 is an apocalyptic number.

253133166 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 253133166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308290752).

253133166 is an abundant number, since it is smaller than the sum of its proper divisors (363448338).

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

253133166 is a wasteful number, since it uses less digits than its factorization.

253133166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 367 counting only the distinct ones).

The product of its digits is 9720, while the sum is 30.

The square root of 253133166 is about 15910.1592072487. The cubic root of 253133166 is about 632.5813013438.

The spelling of 253133166 in words is "two hundred fifty-three million, one hundred thirty-three thousand, one hundred sixty-six".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 78 93 143 186 286 307 341 403 429 614 682 806 858 921 961 1023 1209 1842 1922 2046 2418 2883 3377 3991 4433 5766 6754 7982 8866 9517 10131 10571 11973 12493 13299 19034 20262 21142 23946 24986 26598 28551 31713 37479 43901 57102 63426 74958 87802 104687 123721 131703 137423 209374 247442 263406 274846 295027 314061 371163 412269 590054 628122 742326 824538 885081 1360931 1770162 2721862 3245297 3835351 4082793 6490594 7670702 8165586 9735891 11506053 19471782 23012106 42188861 84377722 126566583 253133166