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3424422234200 = 23521121271114213
BaseRepresentation
bin110001110101001111011…
…110001000100001011000
3110010101000212120200120112
4301311033132020201120
5422101204042443300
611141054032543452
7502256242503062
oct61651736104130
913111025520515
103424422234200
111100320093100
124738140b1b88
131babc9a921a6
14bba58806732
155e125234e35
hex31d4f788858

3424422234200 has 144 divisors (see below), whose sum is σ = 8820296298240. Its totient is φ = 1235438265600.

The previous prime is 3424422234139. The next prime is 3424422234241. The reversal of 3424422234200 is 24322244243.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2516294 + ... + 3630506.

Almost surely, 23424422234200 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 3424422234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410148149120).

3424422234200 is an abundant number, since it is smaller than the sum of its proper divisors (5395874064040).

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

3424422234200 is a wasteful number, since it uses less digits than its factorization.

3424422234200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114378 (or 1114358 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 3424422234200 its reverse (24322244243), we get a palindrome (3448744478443).

The spelling of 3424422234200 in words is "three trillion, four hundred twenty-four billion, four hundred twenty-two million, two hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 127 200 220 242 254 275 440 484 508 550 605 635 968 1016 1100 1210 1270 1397 2200 2420 2540 2794 3025 3175 4840 5080 5588 6050 6350 6985 11176 12100 12700 13970 15367 24200 25400 27940 30734 34925 55880 61468 69850 76835 122936 139700 153670 279400 307340 384175 614680 768350 1114213 1536700 2228426 3073400 4456852 5571065 8913704 11142130 12256343 22284260 24512686 27855325 44568520 49025372 55710650 61281715 98050744 111421300 122563430 134819773 141505051 222842600 245126860 269639546 283010102 306408575 490253720 539279092 566020204 612817150 674098865 707525255 1078558184 1132040408 1225634300 1348197730 1415050510 1556555561 2451268600 2696395460 2830101020 3113111122 3370494325 3537626275 5392790920 5660202040 6226222244 6740988650 7075252550 7782777805 12452444488 13481977300 14150505100 15565555610 17122111171 26963954600 28301010200 31131111220 34244222342 38913889025 62262222440 68488444684 77827778050 85610555855 136976889368 155655556100 171221111710 311311112200 342442223420 428052779275 684884446840 856105558550 1712211117100 3424422234200