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22227915193201 = 43283213212
BaseRepresentation
bin1010000110111010101101…
…11111010011101101110001
32220200222010121221210012201
411003131112333103231301
510403140232242140301
6115135210244423201
74452625313504614
oct503352677235561
986628117853181
1022227915193201
11709a895711923
1225abb039a7b01
13c53111330a73
1456bba03c417b
152882ebd9b201
hex143756fd3b71

22227915193201 has 27 divisors (see below), whose sum is σ = 23051797753707. Its totient is φ = 21433171525920.

The previous prime is 22227915193171. The next prime is 22227915193321. The reversal of 22227915193201 is 10239151972222.

The square root of 22227915193201 is 4714649.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20577101367601 + 1650813825600 = 4536199^2 + 1284840^2 .

It is not a de Polignac number, because 22227915193201 - 213 = 22227915185009 is a prime.

It is a super-2 number, since 2×222279151932012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22227915793201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16826581621 + ... + 16826582941.

Almost surely, 222227915193201 is an apocalyptic number.

22227915193201 is the 4714649-th square number.

22227915193201 is the 2357325-th centered octagonal number.

It is an amenable number.

22227915193201 is a deficient number, since it is larger than the sum of its proper divisors (823882560506).

22227915193201 is an frugal number, since it uses more digits than its factorization.

22227915193201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 22227915193201 in words is "twenty-two trillion, two hundred twenty-seven billion, nine hundred fifteen million, one hundred ninety-three thousand, two hundred one".

Divisors: 1 43 83 1321 1849 3569 6889 56803 109643 153467 296227 1745041 2442529 4714649 9100369 12737761 75036763 144838403 202729907 391315867 3226580809 6228051329 12021587449 16826582281 267806207147 516928260307 22227915193201