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22663201134012 = 22323712779941603
BaseRepresentation
bin1010010011100101100000…
…00011011001010110111100
32222020120200110020200012020
411021302300003121112330
510432303213442242022
6120111155245040140
74526235152114625
oct511626003312674
988216613220166
1022663201134012
11724845623687a
122660344256050
13c851911aa50a
14584c94a46a4c
152947c64a835c
hex149cb00d95bc

22663201134012 has 96 divisors (see below), whose sum is σ = 55960508620800. Its totient is φ = 7123746759360.

The previous prime is 22663201133987. The next prime is 22663201134017. The reversal of 22663201134012 is 21043110236622.

It is a super-2 number, since 2×226632011340122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22663201134017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544728403 + ... + 544770005.

It is an arithmetic number, because the mean of its divisors is an integer number (582921964800).

Almost surely, 222663201134012 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 22663201134012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27980254310400).

22663201134012 is an abundant number, since it is smaller than the sum of its proper divisors (33297307486788).

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

22663201134012 is a wasteful number, since it uses less digits than its factorization.

22663201134012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69503 (or 69501 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 22663201134012 in words is "twenty-two trillion, six hundred sixty-three billion, two hundred one million, one hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 71 92 138 142 213 276 284 426 852 1633 3266 4899 6532 9798 19596 27799 41603 55598 83206 83397 111196 124809 166412 166794 249618 333588 499236 639377 956869 1278754 1913738 1918131 1973729 2557508 2870607 2953813 3827476 3836262 3947458 5741214 5907626 5921187 7672524 7894916 8861439 11482428 11815252 11842374 17722878 23684748 35445756 45395767 67937699 90791534 135875398 136187301 181583068 203813097 271750796 272374602 407626194 544749204 815252388 1156521797 2313043594 3469565391 4626087188 6939130782 13878261564 26600001331 53200002662 79800003993 82113047587 106400005324 159600007986 164226095174 246339142761 319200015972 328452190348 492678285522 985356571044 1888600094501 3777200189002 5665800283503 7554400378004 11331600567006 22663201134012