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202040222120 = 235113115119803
BaseRepresentation
bin1011110000101010001…
…0010010000110101000
3201022111112022201002122
42330022202102012220
511302234244101440
6232452131050412
720411513360312
oct2741242220650
9638445281078
10202040222120
1178759490290
12331a6a40a08
131608ac0a1b9
149ac904a7b2
1553c762e7b5
hex2f0a8921a8

202040222120 has 128 divisors (see below), whose sum is σ = 512305274880. Its totient is φ = 71044896000.

The previous prime is 202040222093. The next prime is 202040222149. The reversal of 202040222120 is 21222040202.

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, 20605139 + ... + 20614941.

It is an arithmetic number, because the mean of its divisors is an integer number (4002384960).

Almost surely, 2202040222120 is an apocalyptic number.

202040222120 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 202040222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256152637440).

202040222120 is an abundant number, since it is smaller than the sum of its proper divisors (310265052760).

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

202040222120 is a wasteful number, since it uses less digits than its factorization.

202040222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11367 (or 11363 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 202040222120 its reverse (21222040202), we get a palindrome (223262262322).

The spelling of 202040222120 in words is "two hundred two billion, forty million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1511 1705 2728 3022 3410 6044 6820 7555 9803 12088 13640 15110 16621 19606 30220 33242 39212 46841 49015 60440 66484 78424 83105 93682 98030 107833 132968 166210 187364 196060 215666 234205 303893 332420 374728 392120 431332 468410 515251 539165 607786 664840 862664 936820 1030502 1078330 1215572 1519465 1873640 2061004 2156660 2431144 2576255 3038930 3342823 4122008 4313320 5152510 6077860 6685646 10305020 12155720 13371292 14812333 16714115 20610040 26742584 29624666 33428230 59249332 66856460 74061665 118498664 133712920 148123330 162935663 296246660 325871326 459182323 592493320 651742652 814678315 918364646 1303485304 1629356630 1836729292 2295911615 3258713260 3673458584 4591823230 5051005553 6517426520 9183646460 10102011106 18367292920 20204022212 25255027765 40408044424 50510055530 101020111060 202040222120