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220012525044 = 22321313122715809
BaseRepresentation
bin1100110011100111000…
…1001011010111110100
3210000220001101021212200
43030321301023113310
512101041201300134
6245023343544500
721616054415034
oct3147161132764
9700801337780
10220012525044
11853413754a4
12367818bb130
1317993490a80
14a911d078c4
155aca366499
hex3339c4b5f4

220012525044 has 144 divisors (see below), whose sum is σ = 606191826240. Its totient is φ = 66879221760.

The previous prime is 220012525043. The next prime is 220012525087. The reversal of 220012525044 is 440525210022.

It is a super-2 number, since 2×2200125250442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220012524999 and 220012525017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220012525043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13909012 + ... + 13924820.

It is an arithmetic number, because the mean of its divisors is an integer number (4209665460).

Almost surely, 2220012525044 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 220012525044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303095913120).

220012525044 is an abundant number, since it is smaller than the sum of its proper divisors (386179301196).

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

220012525044 is a wasteful number, since it uses less digits than its factorization.

220012525044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16190 (or 16185 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 220012525044 its reverse (440525210022), we get a palindrome (660537735066).

The spelling of 220012525044 in words is "two hundred twenty billion, twelve million, five hundred twenty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 131 156 227 234 262 393 454 468 524 681 786 908 1179 1362 1572 1703 2043 2358 2724 2951 3406 4086 4716 5109 5902 6812 8172 8853 10218 11804 15327 15809 17706 20436 26559 29737 30654 31618 35412 47427 53118 59474 61308 63236 89211 94854 106236 118948 142281 178422 189708 205517 267633 284562 356844 386581 411034 535266 569124 616551 773162 822068 1070532 1159743 1233102 1546324 1849653 2070979 2319486 2466204 3479229 3588643 3699306 4141958 4638972 6212937 6958458 7177286 7398612 8283916 10765929 12425874 13916916 14354572 18638811 21531858 24851748 26922727 32297787 37277622 43063716 46652359 53845454 64595574 74555244 80768181 93304718 107690908 129191148 139957077 161536362 186609436 242304543 279914154 323072724 419871231 470112233 484609086 559828308 839742462 940224466 969218172 1410336699 1679484924 1880448932 2820673398 4231010097 5641346796 6111459029 8462020194 12222918058 16924040388 18334377087 24445836116 36668754174 55003131261 73337508348 110006262522 220012525044