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22233111134104 = 23132173492771719
BaseRepresentation
bin1010000111000100011001…
…01100001111111110011000
32220201110112202000221011101
411003202030230033332120
510403231402422242404
6115141430015441144
74453201135332433
oct503421454177630
986643482027141
1022233111134104
1170a201168a162
1225b0b13b261b4
13c5375b955200
1456c1344cc81a
152885031092a4
hex14388cb0ff98

22233111134104 has 96 divisors (see below), whose sum is σ = 47932739820000. Its totient is φ = 9630145714176.

The previous prime is 22233111134099. The next prime is 22233111134123. The reversal of 22233111134104 is 40143111133222.

It is a super-2 number, since 2×222331111341042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 6635557 + ... + 9407275.

It is an arithmetic number, because the mean of its divisors is an integer number (499299373125).

Almost surely, 222233111134104 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 22233111134104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23966369910000).

22233111134104 is an abundant number, since it is smaller than the sum of its proper divisors (25699628685896).

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

22233111134104 is a wasteful number, since it uses less digits than its factorization.

22233111134104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772117 (or 2772100 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 22233111134104 its reverse (40143111133222), we get a palindrome (62376222267326).

The spelling of 22233111134104 in words is "twenty-two trillion, two hundred thirty-three billion, one hundred eleven million, one hundred thirty-four thousand, one hundred four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 338 349 442 676 698 884 1352 1396 1768 2792 2873 4537 5746 5933 9074 11492 11866 18148 22984 23732 36296 47464 58981 77129 117962 154258 235924 308516 471848 617032 1002677 2005354 2771719 4010708 5543438 8021416 11086876 22173752 36032347 47119223 72064694 94238446 144129388 188476892 288258776 376953784 468420511 612549899 936841022 967329931 1225099798 1873682044 1934659862 2450199596 3747364088 3869319724 4900399192 7738639448 7963148687 12575289103 15926297374 16444608827 25150578206 31852594748 32889217654 50301156412 63705189496 65778435308 100602312824 131556870616 163478758339 213779914751 326957516678 427559829502 653915033356 855119659004 1307830066712 1710239318008 2779138891763 5558277783526 11116555567052 22233111134104