Search a number
-
+
2221221020220 = 2232537333083423
BaseRepresentation
bin100000010100101011000…
…101110000001000111100
321212100100201020001120100
4200110223011300020330
5242343030040121340
64420225335121100
7316322633102466
oct40245305601074
97770321201510
102221221020220
117870183a4624
122ba5a2513190
131315ca202237
1479717099136
153cba44ab830
hex2052b17023c

2221221020220 has 72 divisors (see below), whose sum is σ = 6755767514496. Its totient is φ = 590737583232.

The previous prime is 2221221020197. The next prime is 2221221020231. The reversal of 2221221020220 is 220201221222.

2221221020220 is a `hidden beast` number, since 2 + 2 + 212 + 210 + 20 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2221221020193 and 2221221020202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16474572 + ... + 16608851.

It is an arithmetic number, because the mean of its divisors is an integer number (93830104368).

Almost surely, 22221221020220 is an apocalyptic number.

2221221020220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221221020220 is an abundant number, since it is smaller than the sum of its proper divisors (4534546494276).

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

2221221020220 is a wasteful number, since it uses less digits than its factorization.

2221221020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33083811 (or 33083806 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2221221020220 its reverse (220201221222), we get a palindrome (2441422241442).

The spelling of 2221221020220 in words is "two trillion, two hundred twenty-one billion, two hundred twenty-one million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 373 746 1119 1492 1865 2238 3357 3730 4476 5595 6714 7460 11190 13428 16785 22380 33570 67140 33083423 66166846 99250269 132333692 165417115 198500538 297750807 330834230 397001076 496251345 595501614 661668460 992502690 1191003228 1488754035 1985005380 2977508070 5955016140 12340116779 24680233558 37020350337 49360467116 61700583895 74040700674 111061051011 123401167790 148081401348 185101751685 222122102022 246802335580 370203503370 444244204044 555305255055 740407006740 1110610510110 2221221020220