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85352014220 = 225112367251761
BaseRepresentation
bin100111101111101100…
…0000110000110001100
322011022022212120021212
41033133120012012030
52344300103423340
6103113221513552
76111050102414
oct1173730060614
9264268776255
1085352014220
1133219a94630
12146602728b8
138082ba3635
1441b98ad644
1523482aaa65
hex13df60618c

85352014220 has 96 divisors (see below), whose sum is σ = 207081294336. Its totient is φ = 29244441600.

The previous prime is 85352014219. The next prime is 85352014229. The reversal of 85352014220 is 2241025358.

It is a super-2 number, since 2×853520142202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85352014229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213140 + ... + 464900.

It is an arithmetic number, because the mean of its divisors is an integer number (2157096816).

Almost surely, 285352014220 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 85352014220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103540647168).

85352014220 is an abundant number, since it is smaller than the sum of its proper divisors (121729280116).

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

85352014220 is a wasteful number, since it uses less digits than its factorization.

85352014220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251871 (or 251869 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 85352014220 its reverse (2241025358), we get a palindrome (87593039578).

The spelling of 85352014220 in words is "eighty-five billion, three hundred fifty-two million, fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 67 92 110 115 134 220 230 253 268 335 460 506 670 737 1012 1265 1340 1474 1541 2530 2948 3082 3685 5060 6164 7370 7705 14740 15410 16951 30820 33902 67804 84755 169510 251761 339020 503522 1007044 1258805 2517610 2769371 5035220 5538742 5790503 11077484 11581006 13846855 16867987 23162012 27693710 28952515 33735974 55387420 57905030 63695533 67471948 84339935 115810060 127391066 168679870 185547857 254782132 318477665 337359740 371095714 387963701 636955330 742191428 775927402 927739285 1273910660 1551854804 1855478570 1939818505 3710957140 3879637010 4267600711 7759274020 8535201422 17070402844 21338003555 42676007110 85352014220