Search a number
-
+
2220002322208 = 2511231489184157
BaseRepresentation
bin100000010011100010011…
…100110010011100100000
321212020012210000210011221
4200103202130302130200
5242333031043302313
64415504402144424
7316250504250166
oct40234234623440
97766183023157
102220002322208
11786552487790
122ba302352114
13131464892158
147963d29d236
153cb324cac8d
hex204e2732720

2220002322208 has 96 divisors (see below), whose sum is σ = 4978630500480. Its totient is φ = 964564930560.

The previous prime is 2220002322203. The next prime is 2220002322217. The reversal of 2220002322208 is 8022232000222.

It is not an unprimeable number, because it can be changed into a prime (2220002322203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11962866 + ... + 12147022.

It is an arithmetic number, because the mean of its divisors is an integer number (51860734380).

Almost surely, 22220002322208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220002322208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489315250240).

2220002322208 is an abundant number, since it is smaller than the sum of its proper divisors (2758628178272).

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

2220002322208 is a wasteful number, since it uses less digits than its factorization.

2220002322208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185690 (or 185682 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The spelling of 2220002322208 in words is "two trillion, two hundred twenty billion, two million, three hundred twenty-two thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 1489 2024 2978 4048 5956 8096 11912 16379 23824 32758 34247 47648 65516 68494 131032 136988 184157 262064 273976 368314 376717 524128 547952 736628 753434 1095904 1473256 1506868 2025727 2946512 3013736 4051454 4235611 5893024 6027472 8102908 8471222 12054944 16205816 16942444 32411632 33884888 46591721 64823264 67769776 93183442 135539552 186366884 274209773 372733768 548419546 745467536 1096839092 1490935072 2193678184 3016307503 4387356368 6032615006 6306824779 8774712736 12065230012 12613649558 24130460024 25227299116 48260920048 50454598232 69375072569 96521840096 100909196464 138750145138 201818392928 277500290276 555000580552 1110001161104 2220002322208