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22244065142661 = 3743383617587
BaseRepresentation
bin1010000111011000110011…
…00110011110011110000101
32220202111211010221020000000
411003230121212132132011
510403421321134031121
6115150441002111513
74454036446014435
oct503543146363605
986674733836000
1022244065142661
1170a672296499a
1225b30704ab599
13c547b6198b8b
1456c89322a2c5
15288944b11526
hex143b1999e785

22244065142661 has 64 divisors (see below), whose sum is σ = 34226035261440. Its totient is φ = 14446665585072.

The previous prime is 22244065142561. The next prime is 22244065142681. The reversal of 22244065142661 is 16624156044222.

22244065142661 is a `hidden beast` number, since 2 + 2 + 2 + 440 + 6 + 5 + 142 + 6 + 61 = 666.

It is not a de Polignac number, because 22244065142661 - 221 = 22244063045509 is a prime.

It is a super-2 number, since 2×222440651426612 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22244065142681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35708910 + ... + 36326496.

It is an arithmetic number, because the mean of its divisors is an integer number (534781800960).

Almost surely, 222244065142661 is an apocalyptic number.

It is an amenable number.

22244065142661 is a deficient number, since it is larger than the sum of its proper divisors (11981970118779).

22244065142661 is an frugal number, since it uses more digits than its factorization.

22244065142661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618034 (or 618016 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 22244065142661 in words is "twenty-two trillion, two hundred forty-four billion, sixty-five million, one hundred forty-two thousand, six hundred sixty-one".

Divisors: 1 3 9 27 43 81 129 243 383 387 729 1149 1161 2187 3447 3483 10341 10449 16469 31023 31347 49407 93069 94041 148221 279207 444663 617587 837621 1333989 1852761 4001967 5558283 12005901 16674849 26556241 36017703 50024547 79668723 150073641 236535821 239006169 450220923 709607463 717018507 1350662769 2128822389 2151055521 6386467167 6453166563 10171040303 19159401501 19359499689 30513120909 57478204503 58078499067 91539362727 172434613509 274618088181 517303840527 823854264543 2471562793629 7414688380887 22244065142661