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3225237452700 = 22352107235142737
BaseRepresentation
bin101110111011101111001…
…000011111011110011100
3102102022220100021101121220
4232323233020133132130
5410320241241441300
610505353103453340
7452005251005304
oct56735710373634
912368810241556
103225237452700
1110338a75076aa
124410a55b7250
131a51a5623b33
14b2160ad2604
1558d68641da0
hex2eeef21f79c

3225237452700 has 144 divisors (see below), whose sum is σ = 9423125881344. Its totient is φ = 851643008000.

The previous prime is 3225237452693. The next prime is 3225237452867. The reversal of 3225237452700 is 72547325223.

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, 75445732 + ... + 75488468.

It is an arithmetic number, because the mean of its divisors is an integer number (65438374176).

Almost surely, 23225237452700 is an apocalyptic number.

3225237452700 is a gapful number since it is divisible by the number (30) 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 3225237452700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711562940672).

3225237452700 is an abundant number, since it is smaller than the sum of its proper divisors (6197888428644).

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

3225237452700 is a wasteful number, since it uses less digits than its factorization.

3225237452700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45212 (or 45205 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 42.

The spelling of 3225237452700 in words is "three trillion, two hundred twenty-five billion, two hundred thirty-seven million, four hundred fifty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 150 214 300 321 428 535 642 1070 1284 1605 2140 2351 2675 3210 4702 5350 6420 7053 8025 9404 10700 11755 14106 16050 23510 28212 32100 35265 42737 47020 58775 70530 85474 117550 128211 141060 170948 176325 213685 235100 251557 256422 352650 427370 503114 512844 641055 705300 754671 854740 1006228 1068425 1257785 1282110 1509342 2136850 2515570 2564220 3018684 3205275 3773355 4273700 4572859 5031140 6288925 6410550 7546710 9145718 12577850 12821100 13718577 15093420 18291436 18866775 22864295 25155700 27437154 37733550 45728590 54874308 68592885 75467100 91457180 100474687 114321475 137185770 200949374 228642950 274371540 301424061 342964425 401898748 457285900 502373435 602848122 685928850 1004746870 1205696244 1371857700 1507120305 2009493740 2511867175 3014240610 5023734350 6028481220 7535601525 10047468700 10750791509 15071203050 21501583018 30142406100 32252374527 43003166036 53753957545 64504749054 107507915090 129009498108 161261872635 215015830180 268769787725 322523745270 537539575450 645047490540 806309363175 1075079150900 1612618726350 3225237452700