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2202013242 = 2331113285161
BaseRepresentation
bin1000001101000000…
…0000111000111010
312200110110212022000
42003100000320322
514002203410432
61002300441430
7105365542452
oct20320007072
95613425260
102202013242
11a2aa85160
12515549276
13291287b20
1416c642d62
15cd4b857c
hex83400e3a

2202013242 has 64 divisors (see below), whose sum is σ = 5748865920. Its totient is φ = 615945600.

The previous prime is 2202013201. The next prime is 2202013243. The reversal of 2202013242 is 2423102022.

2202013242 is a `hidden beast` number, since 220 + 201 + 3 + 242 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2202013243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134859 + ... + 150302.

It is an arithmetic number, because the mean of its divisors is an integer number (89826030).

Almost surely, 22202013242 is an apocalyptic number.

2202013242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2202013242 is an abundant number, since it is smaller than the sum of its proper divisors (3546852678).

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

2202013242 is a wasteful number, since it uses less digits than its factorization.

2202013242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285196 (or 285190 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2202013242 is about 46925.6139224624. The cubic root of 2202013242 is about 1300.9880539759.

Adding to 2202013242 its reverse (2423102022), we get a palindrome (4625115264).

The spelling of 2202013242 in words is "two billion, two hundred two million, thirteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 594 702 858 1287 2574 3861 7722 285161 570322 855483 1710966 2566449 3136771 3707093 5132898 6273542 7414186 7699347 9410313 11121279 15398694 18820626 22242558 28230939 33363837 40778023 56461878 66727674 81556046 84692817 100091511 122334069 169385634 200183022 244668138 367002207 734004414 1101006621 2202013242