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2220221201000 = 235311257785363
BaseRepresentation
bin100000010011101111011…
…111101111101001101000
321212020210000212222102212
4200103233133233221220
5242334003111413000
64415542221344252
7316256102553605
oct40235737575150
97766700788385
102220221201000
11786654a94650
122ba363708088
1313149b02942a
14796603976ac
153cb46813c35
hex204ef7efa68

2220221201000 has 128 divisors (see below), whose sum is σ = 5689679448960. Its totient is φ = 804210688000.

The previous prime is 2220221200993. The next prime is 2220221201039. The reversal of 2220221201000 is 1021220222.

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, 2434319 + ... + 3219681.

It is an arithmetic number, because the mean of its divisors is an integer number (44450620695).

Almost surely, 22220221201000 is an apocalyptic number.

2220221201000 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 2220221201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844839724480).

2220221201000 is an abundant number, since it is smaller than the sum of its proper divisors (3469458247960).

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

2220221201000 is a wasteful number, since it uses less digits than its factorization.

2220221201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785652 (or 785638 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2220221201000 its reverse (1021220222), we get a palindrome (2221242421222).

The spelling of 2220221201000 in words is "two trillion, two hundred twenty billion, two hundred twenty-one million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 257 275 440 500 514 550 1000 1028 1100 1285 1375 2056 2200 2570 2750 2827 5140 5500 5654 6425 10280 11000 11308 12850 14135 22616 25700 28270 32125 51400 56540 64250 70675 113080 128500 141350 257000 282700 353375 565400 706750 785363 1413500 1570726 2827000 3141452 3926815 6282904 7853630 8638993 15707260 17277986 19634075 31414520 34555972 39268150 43194965 69111944 78536300 86389930 98170375 157072600 172779860 196340750 201838291 215974825 345559720 392681500 403676582 431949650 785363000 807353164 863899300 1009191455 1079874125 1614706328 1727798600 2018382910 2159748250 2220221201 4036765820 4319496500 4440442402 5045957275 8073531640 8638993000 8880884804 10091914550 11101106005 17761769608 20183829100 22202212010 25229786375 40367658200 44404424020 50459572750 55505530025 88808848040 100919145500 111011060050 201838291000 222022120100 277527650125 444044240200 555055300250 1110110600500 2220221201000