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221132064032 = 25111673761773
BaseRepresentation
bin1100110111110001111…
…1111000010100100000
3210010210001222202122122
43031330133320110200
512110334302022112
6245330415323412
721655600350065
oct3157437702440
9703701882578
10221132064032
1185866315730
1236a34820568
1317b113c3089
14a9ba890c6c
155b437ab872
hex337c7f8520

221132064032 has 48 divisors (see below), whose sum is σ = 477775392192. Its totient is φ = 99912664320.

The previous prime is 221132063959. The next prime is 221132064067. The reversal of 221132064032 is 230460231122.

It is a junction number, because it is equal to n+sod(n) for n = 221132063992 and 221132064010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1822103 + ... + 1939670.

It is an arithmetic number, because the mean of its divisors is an integer number (9953654004).

Almost surely, 2221132064032 is an apocalyptic number.

221132064032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221132064032 is an abundant number, since it is smaller than the sum of its proper divisors (256643328160).

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

221132064032 is a wasteful number, since it uses less digits than its factorization.

221132064032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761961 (or 3761953 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 221132064032 its reverse (230460231122), we get a palindrome (451592295154).

The spelling of 221132064032 in words is "two hundred twenty-one billion, one hundred thirty-two million, sixty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 167 176 334 352 668 1336 1837 2672 3674 5344 7348 14696 29392 58784 3761773 7523546 15047092 30094184 41379503 60188368 82759006 120376736 165518012 331036024 628216091 662072048 1256432182 1324144096 2512864364 5025728728 6910377001 10051457456 13820754002 20102914912 27641508004 55283016008 110566032016 221132064032