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2268265524 = 2237192131571
BaseRepresentation
bin1000011100110010…
…1111110000110100
312212002010211100020
42013030233300310
514121133444044
61013024445140
7110131640010
oct20714576064
95762124306
102268265524
11a64416508
125337797b0
132a1c13865
1417736b540
15d4203a19
hex8732fc34

2268265524 has 144 divisors (see below), whose sum is σ = 6443813376. Its totient is φ = 608212800.

The previous prime is 2268265499. The next prime is 2268265547. The reversal of 2268265524 is 4255628622.

2268265524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3972159 + ... + 3972729.

It is an arithmetic number, because the mean of its divisors is an integer number (44748704).

Almost surely, 22268265524 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 2268265524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221906688).

2268265524 is an abundant number, since it is smaller than the sum of its proper divisors (4175547852).

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

2268265524 is a wasteful number, since it uses less digits than its factorization.

2268265524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 733 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 2268265524 is about 47626.3112575391. The cubic root of 2268265524 is about 1313.9070127804.

The spelling of 2268265524 in words is "two billion, two hundred sixty-eight million, two hundred sixty-five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 131 133 228 262 266 361 393 399 524 532 571 722 786 798 917 1083 1142 1444 1572 1596 1713 1834 2166 2284 2489 2527 2751 3426 3668 3997 4332 4978 5054 5502 6852 7467 7581 7994 9956 10108 10849 11004 11991 14934 15162 15988 17423 21698 23982 29868 30324 32547 34846 43396 47291 47964 52269 65094 69692 74801 75943 94582 104538 130188 141873 149602 151886 189164 206131 209076 224403 227829 283746 299204 303772 331037 412262 448806 455658 523607 567492 618393 662074 824524 897612 911316 993111 1047214 1236786 1324148 1421219 1442917 1570821 1986222 2094428 2473572 2842438 2885834 3141642 3972444 4263657 4328751 5684876 5771668 6283284 8527314 8657502 9948533 17054628 17315004 19897066 27003161 29845599 39794132 54006322 59691198 81009483 108012644 119382396 162018966 189022127 324037932 378044254 567066381 756088508 1134132762 2268265524