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221142231044 = 2272174710331367
BaseRepresentation
bin1100110111110100011…
…0101010100000000100
3210010210210010022011122
43031331012222200010
512110344402343134
6245331421253112
721656052643400
oct3157506524004
9703723108148
10221142231044
118587102a319
1236a38104198
1317b13542967
14a9bbd7a100
155b4461902e
hex337d1aa804

221142231044 has 144 divisors (see below), whose sum is σ = 487633208832. Its totient is φ = 87154034688.

The previous prime is 221142231031. The next prime is 221142231049. The reversal of 221142231044 is 440132241122.

It is a super-2 number, since 2×2211422310442 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221142231049) 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 47 ways as a sum of consecutive naturals, for example, 161771249 + ... + 161772615.

It is an arithmetic number, because the mean of its divisors is an integer number (3386341728).

Almost surely, 2221142231044 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 221142231044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243816604416).

221142231044 is an abundant number, since it is smaller than the sum of its proper divisors (266490977788).

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

221142231044 is a wasteful number, since it uses less digits than its factorization.

221142231044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 221142231044 its reverse (440132241122), we get a palindrome (661274472166).

The spelling of 221142231044 in words is "two hundred twenty-one billion, one hundred forty-two million, two hundred thirty-one thousand, forty-four".

Divisors: 1 2 4 7 14 17 28 34 47 49 68 94 98 119 188 196 238 329 476 658 799 833 1033 1316 1367 1598 1666 2066 2303 2734 3196 3332 4132 4606 5468 5593 7231 9212 9569 11186 14462 17561 19138 22372 23239 28924 35122 38276 39151 46478 48551 50617 64249 66983 70244 78302 92956 97102 101234 122927 128498 133966 156604 162673 194204 202468 245854 256996 267932 325346 339857 449743 491708 650692 679714 825367 860489 899486 1092233 1138711 1359428 1412111 1650734 1720978 1798972 2184466 2277422 2378999 2824222 3148201 3301468 3441956 4368932 4554844 4757998 5648444 5777569 6296402 7645631 9515996 9884777 11555138 12592804 15291262 19769554 23110276 24005887 30582524 39539108 40442983 48011774 53519417 66369217 69193439 80885966 96023548 107038834 132738434 138386878 161771932 168041209 214077668 265476868 276773756 336082418 464584519 672164836 929169038 1128276689 1176288463 1858338076 2256553378 2352576926 3252091633 4513106756 4705153852 6504183266 7897936823 13008366532 15795873646 31591747292 55285557761 110571115522 221142231044