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23223313033032 = 2337474723622729
BaseRepresentation
bin1010100011111000110010…
…10100101110011101001000
310001020010102121121020210010
411101330121110232131020
511020442321114024112
6121220350454551520
74614554226523230
oct521743124563510
9101203377536703
1023223313033032
117443a5185a762
122730a006685a0
13cc5c45003cb8
145a402b52acc0
152a415959463c
hex151f1952e748

23223313033032 has 128 divisors (see below), whose sum is σ = 67778531020800. Its totient is φ = 6492671728128.

The previous prime is 23223313033027. The next prime is 23223313033051. The reversal of 23223313033032 is 23033031332232.

It is a super-2 number, since 2×232233130330322 (a number of 28 digits) contains 22 as substring.

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, 36981444 + ... + 37604172.

It is an arithmetic number, because the mean of its divisors is an integer number (529519773600).

Almost surely, 223223313033032 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 23223313033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33889265510400).

23223313033032 is an abundant number, since it is smaller than the sum of its proper divisors (44555217987768).

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

23223313033032 is a wasteful number, since it uses less digits than its factorization.

23223313033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627515 (or 627511 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 30.

Adding to 23223313033032 its reverse (23033031332232), we get a palindrome (46256344365264).

The spelling of 23223313033032 in words is "twenty-three trillion, two hundred twenty-three billion, three hundred thirteen million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1974 2632 3948 4723 7896 9446 14169 18892 28338 33061 37784 56676 66122 99183 113352 132244 198366 221981 264488 396732 443962 622729 665943 793464 887924 1245458 1331886 1553867 1775848 1868187 2490916 2663772 3107734 3736374 4359103 4661601 4981832 5327544 6215468 7472748 8718206 9323202 12430936 13077309 14945496 17436412 18646404 26154618 29268263 34872824 37292808 52309236 58536526 87804789 104618472 117073052 175609578 204877841 234146104 351219156 409755682 614633523 702438312 819511364 1229267046 1639022728 2458534092 2941149067 4917068184 5882298134 8823447201 11764596268 17646894402 20588043469 23529192536 35293788804 41176086938 61764130407 70587577608 82352173876 123528260814 138234006149 164704347752 247056521628 276468012298 414702018447 494113043256 552936024596 829404036894 967638043043 1105872049192 1658808073788 1935276086086 2902914129129 3317616147576 3870552172172 5805828258258 7741104344344 11611656516516 23223313033032