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398996220 = 2235721131201
BaseRepresentation
bin10111110010000…
…011001011111100
31000210210002220210
4113302003023330
51304120334340
6103331512420
712613261200
oct2762031374
91023702823
10398996220
1119524a847
12b1758710
136487c74c
143adc2b00
1525066180
hex17c832fc

398996220 has 144 divisors (see below), whose sum is σ = 1312180128. Its totient is φ = 90316800.

The previous prime is 398996159. The next prime is 398996231. The reversal of 398996220 is 22699893.

It is a self number, because there is not a number n which added to its sum of digits gives 398996220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331620 + ... + 332820.

It is an arithmetic number, because the mean of its divisors is an integer number (9112362).

Almost surely, 2398996220 is an apocalyptic number.

398996220 is a gapful number since it is divisible by the number (30) 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 398996220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656090064).

398996220 is an abundant number, since it is smaller than the sum of its proper divisors (913183908).

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

398996220 is a wasteful number, since it uses less digits than its factorization.

398996220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 398996220 is about 19974.8897368671. The cubic root of 398996220 is about 736.1894572719.

The spelling of 398996220 in words is "three hundred ninety-eight million, nine hundred ninety-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 113 140 147 196 210 226 245 294 339 420 452 490 565 588 678 735 791 980 1130 1201 1356 1470 1582 1695 2260 2373 2402 2940 3164 3390 3603 3955 4746 4804 5537 6005 6780 7206 7910 8407 9492 11074 11865 12010 14412 15820 16611 16814 18015 22148 23730 24020 25221 27685 33222 33628 36030 42035 47460 50442 55370 58849 66444 72060 83055 84070 100884 110740 117698 126105 135713 166110 168140 176547 235396 252210 271426 294245 332220 353094 407139 504420 542852 588490 678565 706188 814278 882735 949991 1176980 1357130 1628556 1765470 1899982 2035695 2714260 2849973 3530940 3799964 4071390 4749955 5699946 6649937 8142780 9499910 11399892 13299874 14249865 18999820 19949811 26599748 28499730 33249685 39899622 56999460 66499370 79799244 99749055 132998740 199498110 398996220