Search a number
-
+
23362570080 = 25325153110597
BaseRepresentation
bin10101110000100001…
…001000011101100000
32020022011210112020100
4111300201020131200
5340321304220310
614422124542400
71454642366133
oct256041103540
966264715210
1023362570080
1199a961a763
1246400b1a00
132284226985
1411b8b0c21a
1591b07cec0
hex570848760

23362570080 has 144 divisors (see below), whose sum is σ = 79784372304. Its totient is φ = 6225361920.

The previous prime is 23362570067. The next prime is 23362570109. The reversal of 23362570080 is 8007526332.

23362570080 is a `hidden beast` number, since 2 + 3 + 3 + 6 + 2 + 570 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×233625700802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2199342 + ... + 2209938.

It is an arithmetic number, because the mean of its divisors is an integer number (554058141).

Almost surely, 223362570080 is an apocalyptic number.

23362570080 is a gapful number since it is divisible by the number (20) 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 23362570080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39892186152).

23362570080 is an abundant number, since it is smaller than the sum of its proper divisors (56421802224).

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

23362570080 is a wasteful number, since it uses less digits than its factorization.

23362570080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12149 (or 12138 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 23362570080 in words is "twenty-three billion, three hundred sixty-two million, five hundred seventy thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1531 3062 4593 6124 7655 9186 10597 12248 13779 15310 18372 21194 22965 24496 27558 30620 31791 36744 42388 45930 48992 52985 55116 61240 63582 68895 73488 84776 91860 95373 105970 110232 122480 127164 137790 146976 158955 169552 183720 190746 211940 220464 244960 254328 275580 317910 339104 367440 381492 423880 440928 476865 508656 551160 635820 734880 762984 847760 953730 1017312 1102320 1271640 1525968 1695520 1907460 2204640 2543280 3051936 3814920 5086560 7629840 15259680 16224007 32448014 48672021 64896028 81120035 97344042 129792056 146016063 162240070 194688084 243360105 259584112 292032126 324480140 389376168 486720210 519168224 584064252 648960280 730080315 778752336 973440420 1168128504 1297920560 1460160630 1557504672 1946880840 2336257008 2595841120 2920321260 3893761680 4672514016 5840642520 7787523360 11681285040 23362570080