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2242545240 = 2335137611889
BaseRepresentation
bin1000010110101010…
…1000011001011000
312210021202002202010
42011222220121120
514043042421430
61010305305520
7106400214525
oct20552503130
95707662663
102242545240
11a50949481
125270352a0
132997a9860
14173b9414c
15d1d22cb0
hex85aa8658

2242545240 has 128 divisors (see below), whose sum is σ = 7258507200. Its totient is φ = 550993920.

The previous prime is 2242545233. The next prime is 2242545289. The reversal of 2242545240 is 425452422.

It is a super-3 number, since 3×22425452403 (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2242545198 and 2242545207.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1186216 + ... + 1188104.

Almost surely, 22242545240 is an apocalyptic number.

2242545240 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 2242545240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629253600).

2242545240 is an abundant number, since it is smaller than the sum of its proper divisors (5015961960).

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

2242545240 is a wasteful number, since it uses less digits than its factorization.

2242545240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 2242545240 is about 47355.5196360467. The cubic root of 2242545240 is about 1308.9219108264.

Adding to 2242545240 its reverse (425452422), we get a palindrome (2667997662).

It can be divided in two parts, 2 and 242545240, that added together give a palindrome (242545242).

The spelling of 2242545240 in words is "two billion, two hundred forty-two million, five hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 761 780 1522 1560 1889 2283 3044 3778 3805 4566 5667 6088 7556 7610 9132 9445 9893 11334 11415 15112 15220 18264 18890 19786 22668 22830 24557 28335 29679 30440 37780 39572 45336 45660 49114 49465 56670 59358 73671 75560 79144 91320 98228 98930 113340 118716 122785 147342 148395 196456 197860 226680 237432 245570 294684 296790 368355 395720 491140 589368 593580 736710 982280 1187160 1437529 1473420 2875058 2946840 4312587 5750116 7187645 8625174 11500232 14375290 17250348 18687877 21562935 28750580 34500696 37375754 43125870 56063631 57501160 74751508 86251740 93439385 112127262 149503016 172503480 186878770 224254524 280318155 373757540 448509048 560636310 747515080 1121272620 2242545240