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224220321234 = 23471337411071
BaseRepresentation
bin1101000011010010010…
…0101001010111010010
3210102202022002111010000
43100310210221113102
512133200400234414
6251001055350430
722125250166310
oct3206444512722
9712668074100
10224220321234
1187100587008
1237556b22416
13181b41691c0
14abd0aad0b0
155c74985b09
hex34349295d2

224220321234 has 160 divisors (see below), whose sum is σ = 635076642816. Its totient is φ = 57536645760.

The previous prime is 224220321223. The next prime is 224220321277. The reversal of 224220321234 is 432123022422.

224220321234 is a `hidden beast` number, since 2 + 2 + 422 + 0 + 3 + 2 + 1 + 234 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 224220321198 and 224220321207.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 339919 + ... + 750989.

Almost surely, 2224220321234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224220321234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317538321408).

224220321234 is an abundant number, since it is smaller than the sum of its proper divisors (410856321582).

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

224220321234 is a wasteful number, since it uses less digits than its factorization.

224220321234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411142 (or 411133 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 224220321234 its reverse (432123022422), we get a palindrome (656343343656).

The spelling of 224220321234 in words is "two hundred twenty-four billion, two hundred twenty million, three hundred twenty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 37 39 42 54 63 74 78 81 91 111 117 126 162 182 189 222 234 259 273 333 351 378 481 518 546 567 666 702 777 819 962 999 1053 1134 1443 1554 1638 1998 2106 2331 2457 2886 2997 3367 4329 4662 4914 5994 6734 6993 7371 8658 10101 12987 13986 14742 20202 20979 25974 30303 38961 41958 60606 77922 90909 181818 272727 411071 545454 822142 1233213 2466426 2877497 3699639 5343923 5754994 7399278 8632491 10687846 11098917 15209627 16031769 17264982 22197834 25897473 30419254 32063538 33296751 37407461 45628881 48095307 51794946 66593502 74814922 77692419 91257762 96190614 106467389 112222383 136886643 144285921 155384838 197725151 212934778 224444766 233077257 273773286 288571842 319402167 336667149 395450302 410659929 432857763 466154514 593175453 638804334 673334298 821319858 865715526 958206501 1010001447 1186350906 1231979787 1384076057 1779526359 1916413002 2020002894 2463959574 2768152114 2874619503 3030004341 3559052718 4152228171 5338579077 5749239006 6060008682 8304456342 8623858509 10677158154 12456684513 16015737231 17247717018 24913369026 32031474462 37370053539 74740107078 112110160617 224220321234