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2212140354100 = 225267732675633
BaseRepresentation
bin100000001100001101110…
…101110000101000110100
321211110220212100102102221
4200030031311300220310
5242220430412312400
64412124313012124
7315551620522315
oct40141565605064
97743825312387
102212140354100
11783188617786
122b88893b4044
131307b0b1a611
14790d508660c
153c822198c1a
hex2030dd70a34

2212140354100 has 36 divisors (see below), whose sum is σ = 4807435327884. Its totient is φ = 883549089280.

The previous prime is 2212140354049. The next prime is 2212140354101. The reversal of 2212140354100 is 14530412122.

It can be written as a sum of positive squares in 6 ways, for example, as 228487824016 + 1983652530084 = 478004^2 + 1408422^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212140354101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16270117 + ... + 16405516.

It is an arithmetic number, because the mean of its divisors is an integer number (133539870219).

Almost surely, 22212140354100 is an apocalyptic number.

2212140354100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212140354100 is an abundant number, since it is smaller than the sum of its proper divisors (2595294973784).

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

2212140354100 is a wasteful number, since it uses less digits than its factorization.

2212140354100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32676324 (or 32676317 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 2212140354100 its reverse (14530412122), we get a palindrome (2226670766222).

The spelling of 2212140354100 in words is "two trillion, two hundred twelve billion, one hundred forty million, three hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 677 1354 2708 3385 6770 13540 16925 33850 67700 32675633 65351266 130702532 163378165 326756330 653512660 816890825 1633781650 3267563300 22121403541 44242807082 88485614164 110607017705 221214035410 442428070820 553035088525 1106070177050 2212140354100