Search a number
-
+
240220222000 = 24531145723893
BaseRepresentation
bin1101111110111000111…
…1011011001000110000
3211222001100201122210021
43133232033123020300
512413432334101000
6302204453013224
723232611124313
oct3375617331060
9758040648707
10240220222000
11929710642a0
123a681324214
1319863bb91c5
14b8aba1697a
1563ae45c11a
hex37ee3db230

240220222000 has 160 divisors (see below), whose sum is σ = 635070406464. Its totient is φ = 87158016000.

The previous prime is 240220221979. The next prime is 240220222003. The reversal of 240220222000 is 222022042.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (240220222003) 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, 10042054 + ... + 10065946.

Almost surely, 2240220222000 is an apocalyptic number.

240220222000 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 240220222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317535203232).

240220222000 is an abundant number, since it is smaller than the sum of its proper divisors (394850184464).

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

240220222000 is a wasteful number, since it uses less digits than its factorization.

240220222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24384 (or 24368 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 240220222000 its reverse (222022042), we get a palindrome (240442244042).

The spelling of 240220222000 in words is "two hundred forty billion, two hundred twenty million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 457 500 550 880 914 1000 1100 1375 1828 2000 2200 2285 2750 3656 4400 4570 5027 5500 7312 9140 10054 11000 11425 18280 20108 22000 22850 23893 25135 36560 40216 45700 47786 50270 57125 80432 91400 95572 100540 114250 119465 125675 182800 191144 201080 228500 238930 251350 262823 382288 402160 457000 477860 502700 525646 597325 628375 914000 955720 1005400 1051292 1194650 1256750 1314115 1911440 2010800 2102584 2389300 2513500 2628230 2986625 4205168 4778600 5027000 5256460 5973250 6570575 9557200 10054000 10512920 10919101 11946500 13141150 21025840 21838202 23893000 26282300 32852875 43676404 47786000 52564600 54595505 65705750 87352808 105129200 109191010 120110111 131411500 174705616 218382020 240220222 262823000 272977525 436764040 480440444 525646000 545955050 600550555 873528080 960880888 1091910100 1201101110 1364887625 1921761776 2183820200 2402202220 2729775250 3002752775 4367640400 4804404440 5459550500 6005505550 9608808880 10919101000 12011011100 15013763875 21838202000 24022022200 30027527750 48044044400 60055055500 120110111000 240220222000