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202244003412 = 2231127719992767
BaseRepresentation
bin1011110001011010101…
…1101001011001010100
3201100000201202212110220
42330112223221121110
511303143431102122
6232524250514340
720416536444003
oct2742653513124
9640021685426
10202244003412
1178853516180
12332431359b0
13160c11b9649
149b08134c3a
1553da48425c
hex2f16ae9654

202244003412 has 96 divisors (see below), whose sum is σ = 517106688000. Its totient is φ = 61012206720.

The previous prime is 202244003407. The next prime is 202244003413. The reversal of 202244003412 is 214300442202.

It is a super-2 number, since 2×2022440034122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202244003413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73090053 + ... + 73092819.

It is an arithmetic number, because the mean of its divisors is an integer number (5386528000).

Almost surely, 2202244003412 is an apocalyptic number.

202244003412 is a gapful number since it is divisible by the number (22) 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 202244003412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258553344000).

202244003412 is an abundant number, since it is smaller than the sum of its proper divisors (314862684588).

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

202244003412 is a wasteful number, since it uses less digits than its factorization.

202244003412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5061 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 202244003412 its reverse (214300442202), we get a palindrome (416544445614).

The spelling of 202244003412 in words is "two hundred two billion, two hundred forty-four million, three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 277 554 831 1108 1662 1999 2767 3047 3324 3998 5534 5997 6094 7996 8301 9141 11068 11994 12188 16602 18282 21989 23988 30437 33204 36564 43978 60874 65967 87956 91311 121748 131934 182622 263868 365244 553723 766459 1107446 1532918 1661169 2214892 2299377 3065836 3322338 4598754 5531233 6090953 6644676 8431049 9197508 11062466 12181906 16593699 16862098 18272859 22124932 24363812 25293147 33187398 33724196 36545718 50586294 60843563 66374796 73091436 101172588 121687126 182530689 243374252 365061378 730122756 1532151541 3064303082 4596454623 6128606164 9192909246 16853666951 18385818492 33707333902 50561000853 67414667804 101122001706 202244003412