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2253006252 = 223474124229
BaseRepresentation
bin1000011001001010…
…0010010110101100
312211000102120120000
42012102202112230
514103232200002
61011321424300
7106555144230
oct20622422654
95730376500
102253006252
11a56843a42
1252a63b090
1329ba001c3
141753185c0
15d2bdc61c
hex864a25ac

2253006252 has 120 divisors (see below), whose sum is σ = 6895664160. Its totient is φ = 627989760.

The previous prime is 2253006247. The next prime is 2253006281. The reversal of 2253006252 is 2526003522.

2253006252 is a `hidden beast` number, since 2 + 2 + 5 + 30 + 0 + 625 + 2 = 666.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 80874 + ... + 105102.

It is an arithmetic number, because the mean of its divisors is an integer number (57463868).

Almost surely, 22253006252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253006252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447832080).

2253006252 is an abundant number, since it is smaller than the sum of its proper divisors (4642657908).

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

2253006252 is a wasteful number, since it uses less digits than its factorization.

2253006252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24293 (or 24282 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2253006252 is about 47465.8430031533. The cubic root of 2253006252 is about 1310.9540380495.

Adding to 2253006252 its reverse (2526003522), we get a palindrome (4779009774).

The spelling of 2253006252 in words is "two billion, two hundred fifty-three million, six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 81 82 84 108 123 126 162 164 189 246 252 287 324 369 378 492 567 574 738 756 861 1107 1134 1148 1476 1722 2214 2268 2583 3321 3444 4428 5166 6642 7749 10332 13284 15498 23247 24229 30996 46494 48458 72687 92988 96916 145374 169603 218061 290748 339206 436122 508809 654183 678412 872244 993389 1017618 1308366 1526427 1962549 1986778 2035236 2616732 2980167 3052854 3925098 3973556 4579281 5960334 6105708 6953723 7850196 8940501 9158562 11920668 13737843 13907446 17881002 18317124 20861169 26821503 27475686 27814892 35762004 41722338 53643006 54951372 62583507 80464509 83444676 107286012 125167014 160929018 187750521 250334028 321858036 375501042 563251563 751002084 1126503126 2253006252