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10232203140 = 22325257373593
BaseRepresentation
bin10011000011110001…
…10000011110000100
3222102002200202221200
421201320300132010
5131423421000030
64411155342500
7511364202015
oct114170603604
928362622850
1010232203140
1143808a2735
121b968b1a30
13c70b3b493
146d0d2900c
153ed478d60
hex261e30784

10232203140 has 144 divisors (see below), whose sum is σ = 31294671408. Its totient is φ = 2706112512.

The previous prime is 10232203109. The next prime is 10232203141. The reversal of 10232203140 is 4130223201.

It can be written as a sum of positive squares in 8 ways, for example, as 1132187904 + 9100015236 = 33648^2 + 95394^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10232203141) 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, 17254684 + ... + 17255276.

It is an arithmetic number, because the mean of its divisors is an integer number (217324107).

Almost surely, 210232203140 is an apocalyptic number.

10232203140 is a gapful number since it is divisible by the number (10) 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 10232203140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15647335704).

10232203140 is an abundant number, since it is smaller than the sum of its proper divisors (21062468268).

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

10232203140 is a wasteful number, since it uses less digits than its factorization.

10232203140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10232203140 its reverse (4130223201), we get a palindrome (14362426341).

The spelling of 10232203140 in words is "ten billion, two hundred thirty-two million, two hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 257 373 514 593 746 771 1028 1119 1186 1285 1492 1542 1779 1865 2238 2313 2372 2570 2965 3084 3357 3558 3730 3855 4476 4626 5140 5337 5595 5930 6714 7116 7460 7710 8895 9252 10674 11190 11565 11860 13428 15420 16785 17790 21348 22380 23130 26685 33570 35580 46260 53370 67140 95861 106740 152401 191722 221189 287583 304802 383444 442378 457203 479305 575166 609604 663567 762005 862749 884756 914406 958610 1105945 1150332 1327134 1371609 1437915 1524010 1725498 1828812 1917220 1990701 2211890 2286015 2654268 2743218 2875830 3048020 3317835 3450996 3981402 4313745 4423780 4572030 5486436 5751660 6635670 6858045 7962804 8627490 9144060 9953505 13271340 13716090 17254980 19907010 27432180 39814020 56845573 113691146 170536719 227382292 284227865 341073438 511610157 568455730 682146876 852683595 1023220314 1136911460 1705367190 2046440628 2558050785 3410734380 5116101570 10232203140