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2234336544 = 2532111016983
BaseRepresentation
bin1000010100101101…
…0100010100100000
312202201022001112100
42011023110110200
514033442232134
61005413330400
7106240355466
oct20513242440
95681261470
102234336544
11a47252130
12524336a00
13297b9443b
14172a58836
15d1250999
hex852d4520

2234336544 has 144 divisors (see below), whose sum is σ = 7001152704. Its totient is φ = 670272000.

The previous prime is 2234336519. The next prime is 2234336561. The reversal of 2234336544 is 4456334322.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 2234336499 and 2234336508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316477 + ... + 323459.

It is an arithmetic number, because the mean of its divisors is an integer number (48619116).

Almost surely, 22234336544 is an apocalyptic number.

2234336544 is a gapful number since it is divisible by the number (24) 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 2234336544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500576352).

2234336544 is an abundant number, since it is smaller than the sum of its proper divisors (4766816160).

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

2234336544 is a wasteful number, since it uses less digits than its factorization.

2234336544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7111 (or 7100 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

The square root of 2234336544 is about 47268.7692245102. The cubic root of 2234336544 is about 1307.3228827080.

The spelling of 2234336544 in words is "two billion, two hundred thirty-four million, three hundred thirty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 101 132 144 176 198 202 264 288 303 352 396 404 528 606 792 808 909 1056 1111 1212 1584 1616 1818 2222 2424 3168 3232 3333 3636 4444 4848 6666 6983 7272 8888 9696 9999 13332 13966 14544 17776 19998 20949 26664 27932 29088 35552 39996 41898 53328 55864 62847 76813 79992 83796 106656 111728 125694 153626 159984 167592 223456 230439 251388 307252 319968 335184 460878 502776 614504 670368 691317 705283 921756 1005552 1229008 1382634 1410566 1843512 2011104 2115849 2458016 2765268 2821132 3687024 4231698 5530536 5642264 6347547 7374048 7758113 8463396 11061072 11284528 12695094 15516226 16926792 22122144 22569056 23274339 25390188 31032452 33853584 46548678 50780376 62064904 67707168 69823017 93097356 101560752 124129808 139646034 186194712 203121504 248259616 279292068 372389424 558584136 744778848 1117168272 2234336544