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2552112522 = 234172343937
BaseRepresentation
bin1001100000011110…
…0010010110001010
320120212020202020000
42120013202112022
520211320100042
61101124343430
7120146412201
oct23007422612
96525222200
102552112522
11109a667a03
125b2844b76
1331897726b
141a2d38238
15ee0c174c
hex981e258a

2552112522 has 160 divisors (see below), whose sum is σ = 6472109952. Its totient is φ = 747242496.

The previous prime is 2552112517. The next prime is 2552112523. The reversal of 2552112522 is 2252112552.

2552112522 = 31192 + 31202 + ... + 33612.

It is a happy number.

2552112522 is a `hidden beast` number, since 25 + 5 + 2 + 112 + 522 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2552112523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2723238 + ... + 2724174.

Almost surely, 22552112522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552112522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236054976).

2552112522 is an abundant number, since it is smaller than the sum of its proper divisors (3919997430).

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

2552112522 is a wasteful number, since it uses less digits than its factorization.

2552112522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1025 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 2552112522 is about 50518.4374461444. The cubic root of 2552112522 is about 1366.5743747181.

The spelling of 2552112522 in words is "two billion, five hundred fifty-two million, one hundred twelve thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 23 27 34 43 46 51 54 69 81 86 102 129 138 153 162 207 258 306 387 391 414 459 621 731 774 782 918 937 989 1161 1173 1242 1377 1462 1863 1874 1978 2193 2322 2346 2754 2811 2967 3483 3519 3726 4386 5622 5934 6579 6966 7038 8433 8901 10557 13158 15929 16813 16866 17802 19737 21114 21551 25299 26703 31671 31858 33626 39474 40291 43102 47787 50439 50598 53406 59211 63342 64653 75897 80109 80582 95574 100878 118422 120873 129306 143361 151317 151794 160218 193959 241746 286722 302634 362619 366367 387918 430083 453951 581877 684947 725238 732734 860166 907902 926693 1087857 1099101 1163754 1290249 1361853 1369894 1745631 1853386 2054841 2175714 2198202 2580498 2723706 2780079 3263571 3297303 3491262 4109682 5560158 6164523 6527142 6594606 8340237 9891909 12329046 15753781 16680474 18493569 19783818 25020711 29675727 31507562 36987138 47261343 50041422 55480707 59351454 75062133 94522686 110961414 141784029 150124266 283568058 425352087 850704174 1276056261 2552112522