Search a number
-
+
2253252360 = 2335311095557
BaseRepresentation
bin1000011001001101…
…1110011100001000
312211000220002011010
42012103132130020
514103313033420
61011331003520
7106560220602
oct20623363410
95730802133
102253252360
11a569a1937
1252a7395a0
1329ba88228
14175380172
15d2c3a4e0
hex864de708

2253252360 has 128 divisors (see below), whose sum is σ = 7043097600. Its totient is φ = 576046080.

The previous prime is 2253252347. The next prime is 2253252401. The reversal of 2253252360 is 632523522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402702 + ... + 408258.

It is an arithmetic number, because the mean of its divisors is an integer number (55024200).

Almost surely, 22253252360 is an apocalyptic number.

2253252360 is a gapful number since it is divisible by the number (20) 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 2253252360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521548800).

2253252360 is an abundant number, since it is smaller than the sum of its proper divisors (4789845240).

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

2253252360 is a wasteful number, since it uses less digits than its factorization.

2253252360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5711 (or 5707 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 2253252360 is about 47468.4354071208. The cubic root of 2253252360 is about 1311.0017705002.

Adding to 2253252360 its reverse (632523522), we get a palindrome (2885775882).

The spelling of 2253252360 in words is "two billion, two hundred fifty-three million, two hundred fifty-two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 109 120 124 155 186 218 248 310 327 372 436 465 545 620 654 744 872 930 1090 1240 1308 1635 1860 2180 2616 3270 3379 3720 4360 5557 6540 6758 10137 11114 13080 13516 16671 16895 20274 22228 27032 27785 33342 33790 40548 44456 50685 55570 66684 67580 81096 83355 101370 111140 133368 135160 166710 172267 202740 222280 333420 344534 405480 516801 605713 666840 689068 861335 1033602 1211426 1378136 1722670 1817139 2067204 2422852 2584005 3028565 3445340 3634278 4134408 4845704 5168010 6057130 6890680 7268556 9085695 10336020 12114260 14537112 18171390 18777103 20672040 24228520 36342780 37554206 56331309 72685560 75108412 93885515 112662618 150216824 187771030 225325236 281656545 375542060 450650472 563313090 751084120 1126626180 2253252360