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442202244 = 223112378231
BaseRepresentation
bin11010010110110…
…111100010000100
31010211002012102220
4122112313202010
51401200432434
6111513532340
713646441241
oct3226674204
91124065386
10442202244
11207680100
121041140b0
13707c9643
1442a2c5c8
1528c4cd49
hex1a5b7884

442202244 has 72 divisors (see below), whose sum is σ = 1164926784. Its totient is φ = 130363200.

The previous prime is 442202231. The next prime is 442202251.

442202244 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49609 + ... + 57839.

Almost surely, 2442202244 is an apocalyptic number.

442202244 is a gapful number since it is divisible by the number (44) 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 442202244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582463392).

442202244 is an abundant number, since it is smaller than the sum of its proper divisors (722724540).

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

442202244 is a wasteful number, since it uses less digits than its factorization.

442202244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8297 (or 8284 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 442202244 is about 21028.6053745844. The cubic root of 442202244 is about 761.8573247800.

It can be divided in two parts, 44220 and 2244, that added together give a palindrome (46464).

The spelling of 442202244 in words is "four hundred forty-two million, two hundred two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 121 132 148 222 242 363 407 444 484 726 814 1221 1452 1628 2442 4477 4884 8231 8954 13431 16462 17908 24693 26862 32924 49386 53724 90541 98772 181082 271623 304547 362164 543246 609094 913641 995951 1086492 1218188 1827282 1991902 2987853 3350017 3654564 3983804 5975706 6700034 10050051 11951412 13400068 20100102 36850187 40200204 73700374 110550561 147400748 221101122 442202244