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2200660240 = 245233141941
BaseRepresentation
bin1000001100101011…
…0110100100010000
312200100221010022211
42003022312210100
514001332111430
61002211441504
7105351206032
oct20312664420
95610833284
102200660240
11a2a240679
12514bb6294
13290c0302c
1416c3adc52
15cd2ec72a
hex832b6910

2200660240 has 160 divisors (see below), whose sum is σ = 5651638272. Its totient is φ = 794112000.

The previous prime is 2200660219. The next prime is 2200660249. The reversal of 2200660240 is 420660022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2200660249) 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, 2338170 + ... + 2339110.

Almost surely, 22200660240 is an apocalyptic number.

2200660240 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 2200660240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825819136).

2200660240 is an abundant number, since it is smaller than the sum of its proper divisors (3450978032).

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

2200660240 is a wasteful number, since it uses less digits than its factorization.

2200660240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2200660240 is about 46911.1952523062. The cubic root of 2200660240 is about 1300.7215402771.

The spelling of 2200660240 in words is "two billion, two hundred million, six hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 41 46 62 80 82 92 115 124 155 164 184 205 230 248 310 328 368 410 460 496 620 656 713 820 920 941 943 1240 1271 1426 1640 1840 1882 1886 2480 2542 2852 3280 3565 3764 3772 4705 4715 5084 5704 6355 7130 7528 7544 9410 9430 10168 11408 12710 14260 15056 15088 18820 18860 20336 21643 25420 28520 29171 29233 37640 37720 38581 43286 50840 57040 58342 58466 75280 75440 77162 86572 101680 108215 116684 116932 145855 146165 154324 173144 192905 216430 233368 233864 291710 292330 308648 346288 385810 432860 466736 467728 583420 584660 617296 670933 771620 865720 887363 1166840 1169320 1196011 1341866 1543240 1731440 1774726 2333680 2338640 2392022 2683732 3086480 3354665 3549452 4436815 4784044 5367464 5980055 6709330 7098904 8873630 9568088 10734928 11960110 13418660 14197808 17747260 19136176 23920220 26837320 27508253 35494520 47840440 53674640 55016506 70989040 95680880 110033012 137541265 220066024 275082530 440132048 550165060 1100330120 2200660240