Search a number
-
+
1010222334 = 2331110191669
BaseRepresentation
bin111100001101101…
…100010011111110
32121101220121112000
4330031230103332
54032104103314
6244124323130
734014514422
oct7415542376
92541817460
101010222334
11479275aa0
122423a34a6
131313a8cc4
149824cb82
155da50209
hex3c36c4fe

1010222334 has 64 divisors (see below), whose sum is σ = 2452896000. Its totient is φ = 305644320.

The previous prime is 1010222333. The next prime is 1010222363. The reversal of 1010222334 is 4332220101.

It is a super-2 number, since 2×10102223342 = 2041098328224815112, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010222333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 604452 + ... + 606120.

It is an arithmetic number, because the mean of its divisors is an integer number (38326500).

Almost surely, 21010222334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010222334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226448000).

1010222334 is an abundant number, since it is smaller than the sum of its proper divisors (1442673666).

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

1010222334 is a wasteful number, since it uses less digits than its factorization.

1010222334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2704 counting only the distinct ones).

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

The square root of 1010222334 is about 31783.9949345579. The cubic root of 1010222334 is about 1003.3958994794.

Adding to 1010222334 its reverse (4332220101), we get a palindrome (5342442435).

The spelling of 1010222334 in words is "one billion, ten million, two hundred twenty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1019 1669 2038 3057 3338 5007 6114 9171 10014 11209 15021 18342 18359 22418 27513 30042 33627 36718 45063 55026 55077 67254 90126 100881 110154 165231 201762 302643 330462 495693 605286 991386 1700711 3401422 5102133 10204266 15306399 18707821 30612798 37415642 45919197 56123463 91838394 112246926 168370389 336740778 505111167 1010222334