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200132240 = 24571153613
BaseRepresentation
bin10111110110111…
…00011010010000
3111221120202211012
423323130122100
5402213212430
631505310052
74650044630
oct1373343220
9457522735
10200132240
11a2a73350
1257035328
1332602559
141c8186c0
1512883695
hexbedc690

200132240 has 160 divisors (see below), whose sum is σ = 592033536. Its totient is φ = 61102080.

The previous prime is 200132239. The next prime is 200132327. The reversal of 200132240 is 42231002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326174 + ... + 326786.

Almost surely, 2200132240 is an apocalyptic number.

200132240 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 200132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296016768).

200132240 is an abundant number, since it is smaller than the sum of its proper divisors (391901296).

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

200132240 is a wasteful number, since it uses less digits than its factorization.

200132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 200132240 is about 14146.8102411816. The cubic root of 200132240 is about 584.9324099474.

Adding to 200132240 its reverse (42231002), we get a palindrome (242363242).

The spelling of 200132240 in words is "two hundred million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 53 55 56 70 77 80 88 106 110 112 140 154 176 212 220 265 280 308 371 385 424 440 530 560 583 613 616 742 770 848 880 1060 1166 1226 1232 1484 1540 1855 2120 2332 2452 2915 2968 3065 3080 3710 4081 4240 4291 4664 4904 5830 5936 6130 6160 6743 7420 8162 8582 9328 9808 11660 12260 13486 14840 16324 17164 20405 21455 23320 24520 26972 29680 32489 32648 33715 34328 40810 42910 46640 47201 49040 53944 64978 65296 67430 68656 81620 85820 94402 107888 129956 134860 162445 163240 171640 188804 227423 236005 259912 269720 324890 326480 343280 357379 377608 454846 472010 519824 539440 649780 714758 755216 909692 944020 1137115 1299560 1429516 1786895 1819384 1888040 2274230 2501653 2599120 2859032 3573790 3638768 3776080 4548460 5003306 5718064 7147580 9096920 10006612 12508265 14295160 18193840 20013224 25016530 28590320 40026448 50033060 100066120 200132240