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1002226434 = 2311101251599
BaseRepresentation
bin111011101111001…
…100001100000010
32120211212101012120
4323233030030002
54023032221214
6243241105110
733556532646
oct7357141402
92524771176
101002226434
11474804610
1223b788196
1312c8396c1
149716ac26
155cec0ea9
hex3bbcc302

1002226434 has 64 divisors (see below), whose sum is σ = 2220825600. Its totient is φ = 299000000.

The previous prime is 1002226429. The next prime is 1002226453. The reversal of 1002226434 is 4346222001.

1002226434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1672867 + ... + 1673465.

It is an arithmetic number, because the mean of its divisors is an integer number (34700400).

Almost surely, 21002226434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002226434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110412800).

1002226434 is an abundant number, since it is smaller than the sum of its proper divisors (1218599166).

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

1002226434 is a wasteful number, since it uses less digits than its factorization.

1002226434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1002226434 is about 31657.9600416704. The cubic root of 1002226434 is about 1000.7415945682.

Adding to 1002226434 its reverse (4346222001), we get a palindrome (5348448435).

The spelling of 1002226434 in words is "one billion, two million, two hundred twenty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 101 202 251 303 502 599 606 753 1111 1198 1506 1797 2222 2761 3333 3594 5522 6589 6666 8283 13178 16566 19767 25351 39534 50702 60499 76053 120998 150349 152106 181497 278861 300698 362994 451047 557722 665489 836583 902094 1330978 1653839 1673166 1996467 3307678 3992934 4961517 9923034 15185249 30370498 45555747 91111494 167037739 334075478 501113217 1002226434