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1072228122 = 232723596271
BaseRepresentation
bin111111111010001…
…110011100011010
32202201120211110200
4333322032130122
54143442244442
6254221323030
735366534340
oct7772163432
92681524420
101072228122
11500276949
1225b106476
131411a8c14
14a258d990
15641ec34c
hex3fe8e71a

1072228122 has 96 divisors (see below), whose sum is σ = 2817884160. Its totient is φ = 288018720.

The previous prime is 1072228117. The next prime is 1072228127. The reversal of 1072228122 is 2218222701.

It is an interprime number because it is at equal distance from previous prime (1072228117) and next prime (1072228127).

It is a super-2 number, since 2×10722281222 = 2299346291215293768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1072228127) 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 47 ways as a sum of consecutive naturals, for example, 167847 + ... + 174117.

It is an arithmetic number, because the mean of its divisors is an integer number (29352960).

Almost surely, 21072228122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072228122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408942080).

1072228122 is an abundant number, since it is smaller than the sum of its proper divisors (1745656038).

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

1072228122 is a wasteful number, since it uses less digits than its factorization.

1072228122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6368 (or 6365 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1072228122 is about 32744.8945944249. The cubic root of 1072228122 is about 1023.5185807963.

The spelling of 1072228122 in words is "one billion, seventy-two million, two hundred twenty-eight thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 59 63 69 118 126 138 161 177 207 322 354 413 414 483 531 826 966 1062 1239 1357 1449 2478 2714 2898 3717 4071 6271 7434 8142 9499 12213 12542 18813 18998 24426 28497 37626 43897 56439 56994 85491 87794 112878 131691 144233 170982 263382 288466 369989 395073 432699 739978 790146 865398 1009631 1109967 1298097 2019262 2219934 2589923 2596194 3028893 3329901 5179846 6057786 6659802 7769769 8509747 9086679 15539538 17019494 18173358 23309307 25529241 46618614 51058482 59568229 76587723 119136458 153175446 178704687 357409374 536114061 1072228122