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222200022121 = 72112322273433
BaseRepresentation
bin1100111011110000100…
…1110100010001101001
3210020112111112122201221
43032330021310101221
512120031201201441
6250024405342041
722024216011400
oct3167411642151
9706474478657
10222200022121
1186264135420
1237092407921
1317c5173553c
14aa7c64c637
155ba74138d1
hex33bc274469

222200022121 has 72 divisors (see below), whose sum is σ = 296153159904. Its totient is φ = 164837312640.

The previous prime is 222200022097. The next prime is 222200022131. The reversal of 222200022121 is 121220002222.

222200022121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-222200022121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222200022095 and 222200022104.

It is not an unprimeable number, because it can be changed into a prime (222200022131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64723021 + ... + 64726453.

It is an arithmetic number, because the mean of its divisors is an integer number (4113238332).

Almost surely, 2222200022121 is an apocalyptic number.

It is an amenable number.

222200022121 is a deficient number, since it is larger than the sum of its proper divisors (73953137783).

222200022121 is a wasteful number, since it uses less digits than its factorization.

222200022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 222200022121 its reverse (121220002222), we get a palindrome (343420024343).

The spelling of 222200022121 in words is "two hundred twenty-two billion, two hundred million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 7 11 23 49 77 161 227 253 529 539 1127 1589 1771 2497 3433 3703 5221 5819 11123 12397 17479 24031 25921 36547 37763 40733 57431 78959 120083 122353 168217 255829 264341 285131 402017 552713 779291 840581 868549 1320913 1816057 1850387 2814119 3868991 5455037 5884067 6079843 8572201 9246391 12712399 17923693 19976627 38185259 42558901 60005407 64724737 88986793 125465851 139836389 197160623 412244939 420037849 878260957 978854723 1380124361 2885714573 4534694329 9660870527 20200002011 31742860303 222200022121