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202434221022 = 231131593166849
BaseRepresentation
bin1011110010001000000…
…1010001001111011110
3201100111222200220222120
42330202001101033132
511304041130033042
6232555203523410
720424336326205
oct2744201211736
9640458626876
10202434221022
1178940927510
1233296989566
131612172a147
149b254cc23c
1553ec009dec
hex2f220513de

202434221022 has 64 divisors (see below), whose sum is σ = 456693811200. Its totient is φ = 59264409600.

The previous prime is 202434220999. The next prime is 202434221029. The reversal of 202434221022 is 220122434202.

It is a super-2 number, since 2×2024342210222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202434220983 and 202434221001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202434221029) 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, 1129854 + ... + 1296702.

It is an arithmetic number, because the mean of its divisors is an integer number (7135840800).

Almost surely, 2202434221022 is an apocalyptic number.

202434221022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 202434221022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228346905600).

202434221022 is an abundant number, since it is smaller than the sum of its proper divisors (254259590178).

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

202434221022 is a wasteful number, since it uses less digits than its factorization.

202434221022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167489.

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

Adding to 202434221022 its reverse (220122434202), we get a palindrome (422556655224).

The spelling of 202434221022 in words is "two hundred two billion, four hundred thirty-four million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 593 682 1023 1186 1779 2046 3558 6523 13046 18383 19569 36766 39138 55149 110298 166849 202213 333698 404426 500547 606639 1001094 1213278 1835339 3670678 5172319 5506017 10344638 11012034 15516957 31033914 56895509 98941457 113791018 170686527 197882914 296824371 341373054 593648742 1088356027 2176712054 3067185167 3265068081 6134370334 6530136162 9201555501 18403111002 33739036837 67478073674 101217110511 202434221022