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245231064 = 23341343677
BaseRepresentation
bin11101001110111…
…10110111011000
3122002110000210000
432213132313120
51000234343224
640200053000
76035300241
oct1647366730
9562400700
10245231064
11116476801
126a164160
133ba62b50
14247d7cc8
15167e10c9
hexe9dedd8

245231064 has 160 divisors (see below), whose sum is σ = 758031120. Its totient is φ = 73592064.

The previous prime is 245231033. The next prime is 245231071. The reversal of 245231064 is 460132542.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 361894 + ... + 362570.

Almost surely, 2245231064 is an apocalyptic number.

245231064 is a gapful number since it is divisible by the number (24) 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 245231064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379015560).

245231064 is an abundant number, since it is smaller than the sum of its proper divisors (512800056).

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

245231064 is a wasteful number, since it uses less digits than its factorization.

245231064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 245231064 is about 15659.8551717441. The cubic root of 245231064 is about 625.9291260220.

The spelling of 245231064 in words is "two hundred forty-five million, two hundred thirty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 43 52 54 72 78 81 86 104 108 117 129 156 162 172 216 234 258 312 324 344 351 387 468 516 559 648 677 702 774 936 1032 1053 1118 1161 1354 1404 1548 1677 2031 2106 2236 2322 2708 2808 3096 3354 3483 4062 4212 4472 4644 5031 5416 6093 6708 6966 8124 8424 8801 9288 10062 12186 13416 13932 15093 16248 17602 18279 20124 24372 26403 27864 29111 30186 35204 36558 40248 45279 48744 52806 54837 58222 60372 70408 73116 79209 87333 90558 105612 109674 116444 120744 146232 158418 174666 181116 211224 219348 232888 237627 261999 316836 349332 362232 378443 438696 475254 523998 633672 698664 712881 756886 785997 950508 1047996 1135329 1425762 1513772 1571994 1901016 2095992 2270658 2357991 2851524 3027544 3143988 3405987 4541316 4715982 5703048 6287976 6811974 9082632 9431964 10217961 13623948 18863928 20435922 27247896 30653883 40871844 61307766 81743688 122615532 245231064