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211225525420 = 22571328927537
BaseRepresentation
bin1100010010111000000…
…1011011110010101100
3202012012200002110110011
43010232001123302230
511430042213303140
6241011412023004
721155236225240
oct3045601336254
9665180073404
10211225525420
1181642336638
1234b2b001a64
1316bc2b9a200
14a31acda420
155763c10cea
hex312e05bcac

211225525420 has 72 divisors (see below), whose sum is σ = 548936456544. Its totient is φ = 66849389568.

The previous prime is 211225525369. The next prime is 211225525429. The reversal of 211225525420 is 24525522112.

It is not an unprimeable number, because it can be changed into a prime (211225525429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4440109 + ... + 4487428.

It is an arithmetic number, because the mean of its divisors is an integer number (7624117452).

Almost surely, 2211225525420 is an apocalyptic number.

211225525420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211225525420 is an abundant number, since it is smaller than the sum of its proper divisors (337710931124).

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

211225525420 is a wasteful number, since it uses less digits than its factorization.

211225525420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8927579 (or 8927564 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The spelling of 211225525420 in words is "two hundred eleven billion, two hundred twenty-five million, five hundred twenty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 169 182 260 338 364 455 676 845 910 1183 1690 1820 2366 3380 4732 5915 11830 23660 8927537 17855074 35710148 44637685 62492759 89275370 116057981 124985518 178550740 232115962 249971036 312463795 464231924 580289905 624927590 812405867 1160579810 1249855180 1508753753 1624811734 2321159620 3017507506 3249623468 4062029335 6035015012 7543768765 8124058670 10561276271 15087537530 16248117340 21122552542 30175075060 42245105084 52806381355 105612762710 211225525420