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2122213122 = 23417245329
BaseRepresentation
bin111111001111110…
…0110011100000010
312110220022121010000
41332133212130002
513321241304442
6550330220430
7103406341161
oct17637463402
95426277100
102122213122
11999a30147
124b2884716
1327a897713
14161bcd3d8
15c64a3d4c
hex7e7e6702

2122213122 has 60 divisors (see below), whose sum is σ = 5051620530. Its totient is φ = 665777664.

The previous prime is 2122213087. The next prime is 2122213123. The reversal of 2122213122 is 2213122212.

It can be written as a sum of positive squares in 3 ways, for example, as 2115908001 + 6305121 = 45999^2 + 2511^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2122213095 and 2122213104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122213123) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 24154 + ... + 69482.

Almost surely, 22122213122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122213122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525810265).

2122213122 is an abundant number, since it is smaller than the sum of its proper divisors (2929407408).

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

2122213122 is a wasteful number, since it uses less digits than its factorization.

2122213122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45377 (or 45351 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2122213122 is about 46067.4844331661. The cubic root of 2122213122 is about 1285.0785221539.

Adding to 2122213122 its reverse (2213122212), we get a palindrome (4335335334).

The spelling of 2122213122 in words is "two billion, one hundred twenty-two million, two hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 289 306 459 578 867 918 1377 1734 2601 2754 5202 7803 15606 23409 45329 46818 90658 135987 271974 407961 770593 815922 1223883 1541186 2311779 2447766 3671649 4623558 6935337 7343298 13100081 13870674 20806011 26200162 39300243 41612022 62418033 78600486 117900729 124836066 235801458 353702187 707404374 1061106561 2122213122