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2002452522 = 23731983617
BaseRepresentation
bin111011101011011…
…0000000000101010
312011112222010110020
41313112300000222
513100111440042
6530411301310
7100423365000
oct16726600052
95145863406
102002452522
11938372244
1247a74a836
1325bb25765
1414dd36a70
15babe93ec
hex775b002a

2002452522 has 128 divisors (see below), whose sum is σ = 4983552000. Its totient is φ = 534619008.

The previous prime is 2002452511. The next prime is 2002452527. The reversal of 2002452522 is 2252542002.

It is a happy number.

It is a super-2 number, since 2×20024525222 = 8019632205728320968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002452492 and 2002452501.

It is not an unprimeable number, because it can be changed into a prime (2002452527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3245158 + ... + 3245774.

It is an arithmetic number, because the mean of its divisors is an integer number (38934000).

Almost surely, 22002452522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002452522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491776000).

2002452522 is an abundant number, since it is smaller than the sum of its proper divisors (2981099478).

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

2002452522 is a wasteful number, since it uses less digits than its factorization.

2002452522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 2002452522 is about 44748.7711786592. The cubic root of 2002452522 is about 1260.4358368800.

Adding to 2002452522 its reverse (2252542002), we get a palindrome (4254994524).

The spelling of 2002452522 in words is "two billion, two million, four hundred fifty-two thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 83 98 114 133 147 166 249 266 294 343 399 498 581 617 686 798 931 1029 1162 1234 1577 1743 1851 1862 2058 2793 3154 3486 3702 4067 4319 4731 5586 6517 8134 8638 9462 11039 11723 12201 12957 13034 19551 22078 23446 24402 25914 28469 30233 33117 35169 39102 51211 56938 60466 66234 70338 77273 82061 85407 90699 102422 153633 154546 164122 170814 181398 211631 231819 246183 307266 358477 423262 463638 492366 540911 574427 634893 716954 973009 1075431 1081822 1148854 1269786 1622733 1723281 1946018 2150862 2509339 2919027 3245466 3446562 4020989 5018678 5838054 6811063 7528017 8041978 12062967 13622126 15056034 17565373 20433189 24125934 35130746 40866378 47677441 52696119 95354882 105392238 143032323 286064646 333742087 667484174 1001226261 2002452522