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2033121222 = 23611177457
BaseRepresentation
bin111100100101110…
…1111011111000110
312020200200021000000
41321023233133012
513130434334342
6533424502130
7101245150056
oct17113573706
95220607000
102033121222
1195370a080
12488a7a946
132652a2c12
1415403b566
15bd75644c
hex792ef7c6

2033121222 has 112 divisors (see below), whose sum is σ = 5282232912. Its totient is φ = 579778560.

The previous prime is 2033121203. The next prime is 2033121247. The reversal of 2033121222 is 2221213302.

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

It is a junction number, because it is equal to n+sod(n) for n = 2033121195 and 2033121204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 268918 + ... + 276374.

Almost surely, 22033121222 is an apocalyptic number.

2033121222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033121222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641116456).

2033121222 is an abundant number, since it is smaller than the sum of its proper divisors (3249111690).

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

2033121222 is a wasteful number, since it uses less digits than its factorization.

2033121222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7505 (or 7490 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2033121222 is about 45090.1455087473. The cubic root of 2033121222 is about 1266.8380269397.

Adding to 2033121222 its reverse (2221213302), we get a palindrome (4254334524).

The spelling of 2033121222 in words is "two billion, thirty-three million, one hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 153 162 187 198 243 297 306 374 459 486 561 594 729 891 918 1122 1377 1458 1683 1782 2673 2754 3366 4131 5049 5346 7457 8019 8262 10098 12393 14914 15147 16038 22371 24786 30294 44742 45441 67113 82027 90882 126769 134226 136323 164054 201339 246081 253538 272646 380307 402678 492162 604017 738243 760614 1140921 1208034 1394459 1476486 1812051 2214729 2281842 2788918 3422763 3624102 4183377 4429458 5436153 6644187 6845526 8366754 10268289 10872306 12550131 13288374 19932561 20536578 25100262 30804867 37650393 39865122 59797683 61609734 75300786 92414601 112951179 119595366 184829202 225902358 338853537 677707074 1016560611 2033121222