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2155224146405 = 511217892354497
BaseRepresentation
bin11111010111001101010…
…111101010000111100101
321122001000021110111110112
4133113031113222013211
5240302344340141110
64330032445102405
7311465314656611
oct37271527520745
97561007414415
102155224146405
11761030931500
122a9844257a05
13128310232205
1476455dac341
153b0e053c405
hex1f5cd5ea1e5

2155224146405 has 48 divisors (see below), whose sum is σ = 3043800834480. Its totient is φ = 1458657361920.

The previous prime is 2155224146393. The next prime is 2155224146417. The reversal of 2155224146405 is 5046414225512.

It is an interprime number because it is at equal distance from previous prime (2155224146393) and next prime (2155224146417).

It can be written as a sum of positive squares in 8 ways, for example, as 3704304769 + 2151519841636 = 60863^2 + 1466806^2 .

It is a de Polignac number, because none of the positive numbers 2k-2155224146405 is a prime.

It is a super-2 number, since 2×21552241464052 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261884 + ... + 2092613.

It is an arithmetic number, because the mean of its divisors is an integer number (63412517385).

Almost surely, 22155224146405 is an apocalyptic number.

It is an amenable number.

2155224146405 is a deficient number, since it is larger than the sum of its proper divisors (888576688075).

2155224146405 is a wasteful number, since it uses less digits than its factorization.

2155224146405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354630 (or 2354619 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 41.

The spelling of 2155224146405 in words is "two trillion, one hundred fifty-five billion, two hundred twenty-four million, one hundred forty-six thousand, four hundred five".

Divisors: 1 5 11 17 55 85 89 121 187 445 605 935 979 1513 2057 4895 7565 10285 10769 16643 53845 83215 183073 915365 2354497 11772485 25899467 40026449 129497335 200132245 209550233 284894137 440290939 1047751165 1424470685 2201454695 2305052563 3562353961 4843200329 11525262815 17811769805 24216001645 25355578193 39185893571 126777890965 195929467855 431044829281 2155224146405