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3227252480 = 2853783821
BaseRepresentation
bin1100000001011011…
…1111011100000000
322022220122102010122
43000112333130000
523102134034410
61252123115412
7142655123234
oct30026773400
98286572118
103227252480
111406777611
12760972b68
133c57c106a
142288805c4
1513d4d2e55
hexc05bf700

3227252480 has 144 divisors (see below), whose sum is σ = 8044644384. Its totient is φ = 1239367680.

The previous prime is 3227252473. The next prime is 3227252491. The reversal of 3227252480 is 842527223.

It is a self number, because there is not a number n which added to its sum of digits gives 3227252480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3930470 + ... + 3931290.

It is an arithmetic number, because the mean of its divisors is an integer number (55865586).

Almost surely, 23227252480 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 3227252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022322192).

3227252480 is an abundant number, since it is smaller than the sum of its proper divisors (4817391904).

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

3227252480 is an equidigital number, since it uses as much as digits as its factorization.

3227252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 3227252480 is about 56808.9119769073. The cubic root of 3227252480 is about 1477.7840712458.

The spelling of 3227252480 in words is "three billion, two hundred twenty-seven million, two hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 83 128 148 160 166 185 256 296 320 332 370 415 592 640 664 740 821 830 1184 1280 1328 1480 1642 1660 2368 2656 2960 3071 3284 3320 4105 4736 5312 5920 6142 6568 6640 8210 9472 10624 11840 12284 13136 13280 15355 16420 21248 23680 24568 26272 26560 30377 30710 32840 47360 49136 52544 53120 60754 61420 65680 68143 98272 105088 106240 121508 122840 131360 136286 151885 196544 210176 243016 245680 262720 272572 303770 340715 393088 486032 491360 525440 545144 607540 681430 786176 972064 982720 1050880 1090288 1215080 1362860 1944128 1965440 2180576 2430160 2521291 2725720 3888256 3930880 4361152 4860320 5042582 5451440 7776512 8722304 9720640 10085164 10902880 12606455 17444608 19441280 20170328 21805760 25212910 38882560 40340656 43611520 50425820 80681312 87223040 100851640 161362624 201703280 322725248 403406560 645450496 806813120 1613626240 3227252480