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214122231104 = 2673105143607
BaseRepresentation
bin1100011101101010101…
…1011111010101000000
3202110200112202100121212
43013122223133111000
512002010242343404
6242211050305252
721320101635305
oct3073253372500
9673615670555
10214122231104
1182899465481
12355b9128228
1317265056642
14a5138d50ac
15588319e06e
hex31daadf540

214122231104 has 56 divisors (see below), whose sum is σ = 431139039168. Its totient is φ = 105491635200.

The previous prime is 214122231101. The next prime is 214122231179. The reversal of 214122231104 is 401132221412.

It is a self number, because there is not a number n which added to its sum of digits gives 214122231104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214122231101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4888469 + ... + 4932075.

Almost surely, 2214122231104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214122231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215569519584).

214122231104 is an abundant number, since it is smaller than the sum of its proper divisors (217016808064).

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

214122231104 is a wasteful number, since it uses less digits than its factorization.

214122231104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44743 (or 44733 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 214122231104 its reverse (401132221412), we get a palindrome (615254452516).

The spelling of 214122231104 in words is "two hundred fourteen billion, one hundred twenty-two million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1051 1168 2102 2336 4204 4672 8408 16816 33632 43607 67264 76723 87214 153446 174428 306892 348856 613784 697712 1227568 1395424 2455136 2790848 3183311 4910272 6366622 12733244 25466488 45830957 50932976 91661914 101865952 183323828 203731904 366647656 733295312 1466590624 2933181248 3345659861 6691319722 13382639444 26765278888 53530557776 107061115552 214122231104