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224034441444 = 2232112112681249
BaseRepresentation
bin1101000010100101111…
…1100100100011100100
3210102021100022210222100
43100221133210203210
512132310304111234
6250530415332100
722120532221602
oct3205137444344
9712240283870
10224034441444
1187015668850
1237504821030
13181847b6c68
14abb4124872
155c634ba399
hex34297e48e4

224034441444 has 72 divisors (see below), whose sum is σ = 620720100000. Its totient is φ = 67567449600.

The previous prime is 224034441437. The next prime is 224034441461. The reversal of 224034441444 is 444144430422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 224034441399 and 224034441408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1257069 + ... + 1424180.

It is an arithmetic number, because the mean of its divisors is an integer number (8621112500).

Almost surely, 2224034441444 is an apocalyptic number.

It is an amenable number.

224034441444 is an abundant number, since it is smaller than the sum of its proper divisors (396685658556).

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

224034441444 is a wasteful number, since it uses less digits than its factorization.

224034441444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681481 (or 2681476 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 224034441444 its reverse (444144430422), we get a palindrome (668178871866).

The spelling of 224034441444 in words is "two hundred twenty-four billion, thirty-four million, four hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 211 396 422 633 844 1266 1899 2321 2532 3798 4642 6963 7596 9284 13926 20889 27852 41778 83556 2681249 5362498 8043747 10724996 16087494 24131241 29493739 32174988 48262482 58987478 88481217 96524964 117974956 176962434 265443651 353924868 530887302 565743539 1061774604 1131487078 1697230617 2262974156 3394461234 5091691851 6223178929 6788922468 10183383702 12446357858 18669536787 20366767404 24892715716 37339073574 56008610361 74678147148 112017220722 224034441444