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2220220001020 = 225729222138521
BaseRepresentation
bin100000010011101111011…
…011001010101011111100
321212020202221122000101011
4200103233123022223330
5242334002310013040
64415542135525004
7316256056425250
oct40235733125374
97766687560334
102220220001020
1178665434502a
122ba363229764
1313149a9c9198
1479660164260
153cb466783ea
hex204ef6caafc

2220220001020 has 144 divisors (see below), whose sum is σ = 5521747952448. Its totient is φ = 734551050240.

The previous prime is 2220220001009. The next prime is 2220220001029. The reversal of 2220220001020 is 201000220222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220220001029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260554360 + ... + 260562880.

It is an arithmetic number, because the mean of its divisors is an integer number (38345471892).

Almost surely, 22220220001020 is an apocalyptic number.

2220220001020 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 2220220001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760873976224).

2220220001020 is an abundant number, since it is smaller than the sum of its proper divisors (3301527951428).

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

2220220001020 is a wasteful number, since it uses less digits than its factorization.

2220220001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10808 (or 10777 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2220220001020 its reverse (201000220222), we get a palindrome (2421220221242).

The spelling of 2220220001020 in words is "two trillion, two hundred twenty billion, two hundred twenty million, one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 841 1015 1682 2030 2213 3364 4060 4205 4426 5887 8410 8521 8852 11065 11774 15491 16820 17042 22130 23548 29435 30982 34084 42605 44260 58870 59647 61964 64177 77455 85210 117740 119294 128354 154910 170420 238588 247109 256708 298235 309820 320885 449239 494218 596470 641770 898478 988436 1192940 1235545 1283540 1729763 1796956 1861133 2246195 2471090 3459526 3722266 4492390 4942180 6919052 7166161 7444532 8648815 8984780 9305665 13027931 14332322 17297630 18611330 18856973 26055862 28664644 34595260 35830805 37222660 37713946 50163127 52111724 65139655 71661610 75427892 94284865 100326254 130279310 131998811 143323220 188569730 200652508 250815635 260558620 263997622 377139460 501631270 527995244 546852217 659994055 1003262540 1093704434 1319988110 2187408868 2639976220 2734261085 3827965519 5468522170 7655931038 10937044340 15311862076 15858714293 19139827595 31717428586 38279655190 63434857172 76559310380 79293571465 111011000051 158587142930 222022000102 317174285860 444044000204 555055000255 1110110000510 2220220001020