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223141220440 = 235191093377993
BaseRepresentation
bin1100111111010001000…
…0001101000001011000
3210022222002120111002221
43033310100031001120
512123443123023230
6250302030433424
722056435035665
oct3176420150130
9708862514087
10223141220440
11866a7446676
12372b5662874
1318071725018
14ab2b650a6c
155c0ed7c27a
hex33f440d058

223141220440 has 128 divisors (see below), whose sum is σ = 534990456000. Its totient is φ = 83523944448.

The previous prime is 223141220413. The next prime is 223141220473. The reversal of 223141220440 is 44022141322.

It is a super-3 number, since 3×2231412204403 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27913084 + ... + 27921076.

Almost surely, 2223141220440 is an apocalyptic number.

223141220440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223141220440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267495228000).

223141220440 is an abundant number, since it is smaller than the sum of its proper divisors (311849235560).

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

223141220440 is a wasteful number, since it uses less digits than its factorization.

223141220440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8469 (or 8465 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 223141220440 its reverse (44022141322), we get a palindrome (267163361762).

The spelling of 223141220440 in words is "two hundred twenty-three billion, one hundred forty-one million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 109 152 190 218 337 380 436 545 674 760 872 1090 1348 1685 2071 2180 2696 3370 4142 4360 6403 6740 7993 8284 10355 12806 13480 15986 16568 20710 25612 31972 32015 36733 39965 41420 51224 63944 64030 73466 79930 82840 128060 146932 151867 159860 183665 256120 293864 303734 319720 367330 607468 697927 734660 759335 871237 1214936 1395854 1469320 1518670 1742474 2693641 2791708 3037340 3484948 3489635 4356185 5387282 5583416 6074680 6969896 6979270 8712370 10774564 13468205 13958540 16553503 17424740 21549128 26936410 27917080 33107006 34849480 51179179 53872820 66214012 82767515 102358358 107745640 132428024 165535030 204716716 255895895 293606869 331070060 409433432 511791790 587213738 662140120 1023583580 1174427476 1468034345 2047167160 2348854952 2936068690 5578530511 5872137380 11157061022 11744274760 22314122044 27892652555 44628244088 55785305110 111570610220 223141220440