Search a number
-
+
235007325672 = 233741300111369
BaseRepresentation
bin1101101011011110000…
…1110011010111101000
3211110121001202002100220
43122313201303113220
512322243333410142
6255543314330040
722656462210660
oct3326741632750
9743531662326
10235007325672
1190736566109
1239667589920
1319212c09372
14b5355771a0
1561a69a02ec
hex36b78735e8

235007325672 has 128 divisors (see below), whose sum is σ = 688116038400. Its totient is φ = 65479680000.

The previous prime is 235007325667. The next prime is 235007325677. The reversal of 235007325672 is 276523700532.

It is an interprime number because it is at equal distance from previous prime (235007325667) and next prime (235007325677).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (235007325677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20665204 + ... + 20676572.

It is an arithmetic number, because the mean of its divisors is an integer number (5375906550).

Almost surely, 2235007325672 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 235007325672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344058019200).

235007325672 is an abundant number, since it is smaller than the sum of its proper divisors (453108712728).

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

235007325672 is a wasteful number, since it uses less digits than its factorization.

235007325672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14427 (or 14423 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 42.

The spelling of 235007325672 in words is "two hundred thirty-five billion, seven million, three hundred twenty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 861 984 1148 1722 2296 3001 3444 6002 6888 9003 11369 12004 18006 21007 22738 24008 34107 36012 42014 45476 63021 68214 72024 79583 84028 90952 123041 126042 136428 159166 168056 238749 246082 252084 272856 318332 369123 466129 477498 492164 504168 636664 738246 861287 932258 954996 984328 1398387 1476492 1722574 1864516 1909992 2583861 2796774 2952984 3262903 3445148 3729032 5167722 5593548 6525806 6890296 9788709 10335444 11187096 13051612 19577418 20670888 26103224 34118369 39154836 68236738 78309672 102355107 136473476 204710214 238828583 272946952 409420428 477657166 716485749 818840856 955314332 1398853129 1432971498 1910628664 2797706258 2865942996 4196559387 5595412516 5731885992 8393118774 9791971903 11190825032 16786237548 19583943806 29375915709 33572475096 39167887612 58751831418 78335775224 117503662836 235007325672