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220272012428 = 2213193141175411
BaseRepresentation
bin1100110100100100111…
…1000010110010001100
3210001120010122121122112
43031021033002302030
512102104113344203
6245105213403152
721625355133026
oct3151117026214
9701503577575
10220272012428
1185464899186
12368347994b8
1317a051758c0
14a938573016
155ae30216d8
hex33493c2c8c

220272012428 has 96 divisors (see below), whose sum is σ = 462077306880. Its totient is φ = 90932544000.

The previous prime is 220272012427. The next prime is 220272012439. The reversal of 220272012428 is 824210272022.

It is a junction number, because it is equal to n+sod(n) for n = 220272012394 and 220272012403.

It is not an unprimeable number, because it can be changed into a prime (220272012427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1168043 + ... + 1343453.

It is an arithmetic number, because the mean of its divisors is an integer number (4813305280).

Almost surely, 2220272012428 is an apocalyptic number.

It is an amenable number.

220272012428 is an abundant number, since it is smaller than the sum of its proper divisors (241805294452).

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

220272012428 is a wasteful number, since it uses less digits than its factorization.

220272012428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175519 (or 175517 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The spelling of 220272012428 in words is "two hundred twenty billion, two hundred seventy-two million, twelve thousand, four hundred twenty-eight".

Divisors: 1 2 4 13 19 26 31 38 41 52 62 76 82 124 164 247 403 494 533 589 779 806 988 1066 1178 1271 1558 1612 2132 2356 2542 3116 5084 7657 10127 15314 16523 20254 24149 30628 33046 40508 48298 66092 96596 175411 313937 350822 627874 701644 1255748 2280343 3332809 4560686 5437741 6665618 7191851 9121372 10875482 13331236 14383702 21750964 28767404 43326517 70690633 86653034 93494063 103317079 136645169 141381266 173306068 186988126 206634158 222947381 273290338 282762532 373976252 413268316 445894762 546580676 891789524 1343122027 1776387197 2686244054 2898315953 3552774394 4236000239 5372488108 5796631906 7105548788 8472000478 11593263812 16944000956 55068003107 110136006214 220272012428