Search a number
-
+
257530212 = 223317237223
BaseRepresentation
bin11110101100110…
…01100101100100
3122221120220001000
433112121211210
51011411431322
641315433300
76244653642
oct1726314544
9587526030
10257530212
11122407295
12722b5830
134147b054
14262ba192
15179203ac
hexf599964

257530212 has 144 divisors (see below), whose sum is σ = 731691520. Its totient is φ = 78257664.

The previous prime is 257530201. The next prime is 257530223. The reversal of 257530212 is 212035752.

It is an interprime number because it is at equal distance from previous prime (257530201) and next prime (257530223).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1154733 + ... + 1154955.

Almost surely, 2257530212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257530212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365845760).

257530212 is an abundant number, since it is smaller than the sum of its proper divisors (474161308).

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

257530212 is a wasteful number, since it uses less digits than its factorization.

257530212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 257530212 is about 16047.7478793755. The cubic root of 257530212 is about 636.2230438773.

Adding to 257530212 its reverse (212035752), we get a palindrome (469565964).

The spelling of 257530212 in words is "two hundred fifty-seven million, five hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 37 51 54 68 74 102 108 111 148 153 204 222 223 289 306 333 444 446 459 578 612 629 666 669 867 892 918 999 1156 1258 1332 1338 1734 1836 1887 1998 2007 2516 2601 2676 3468 3774 3791 3996 4014 5202 5661 6021 7548 7582 7803 8028 8251 10404 10693 11322 11373 12042 15164 15606 16502 16983 21386 22644 22746 24084 24753 31212 32079 33004 33966 34119 42772 45492 49506 64158 64447 67932 68238 74259 96237 99012 102357 128316 128894 136476 140267 148518 192474 193341 204714 222777 257788 280534 288711 297036 384948 386682 409428 420801 445554 561068 577422 580023 773364 841602 891108 1154844 1160046 1262403 1683204 1740069 2320092 2384539 2524806 3480138 3787209 4769078 5049612 6960276 7153617 7574418 9538156 14307234 15148836 21460851 28614468 42921702 64382553 85843404 128765106 257530212