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202211142 = 23722937641
BaseRepresentation
bin11000000110101…
…11111101000110
3112002111101112120
430003113331012
5403231224032
632022030410
75003523600
oct1403277506
9462441476
10202211142
11a4163251
1257878406
1332b7c883
141cbda170
1512b4462c
hexc0d7f46

202211142 has 96 divisors (see below), whose sum is σ = 500605920. Its totient is φ = 54190080.

The previous prime is 202211123. The next prime is 202211183. The reversal of 202211142 is 241112202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315142 + ... + 315782.

It is an arithmetic number, because the mean of its divisors is an integer number (5214645).

Almost surely, 2202211142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202211142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250302960).

202211142 is an abundant number, since it is smaller than the sum of its proper divisors (298394778).

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

202211142 is a wasteful number, since it uses less digits than its factorization.

202211142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 202211142 is about 14220.0964131753. The cubic root of 202211142 is about 586.9507933449.

Adding to 202211142 its reverse (241112202), we get a palindrome (443323344).

The spelling of 202211142 in words is "two hundred two million, two hundred eleven thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 37 42 49 58 74 87 98 111 147 174 203 222 259 294 406 518 609 641 777 1073 1218 1282 1421 1554 1813 1923 2146 2842 3219 3626 3846 4263 4487 5439 6438 7511 8526 8974 10878 13461 15022 18589 22533 23717 26922 31409 37178 45066 47434 52577 55767 62818 71151 94227 105154 111534 130123 142302 157731 166019 188454 260246 315462 332038 390369 498057 687793 780738 910861 996114 1162133 1375586 1821722 2063379 2324266 2732583 3486399 4126758 4814551 5465166 6972798 9629102 14443653 28887306 33701857 67403714 101105571 202211142