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2210531004 = 22321119928051
BaseRepresentation
bin1000001111000010…
…0000011010111100
312201001111121110200
42003300200122330
514011343443004
61003203203500
7105531126543
oct20360403274
95631447420
102210531004
11a34872730
12518376590
13292c7ab16
1416d81d15a
15ce0ec239
hex83c206bc

2210531004 has 72 divisors (see below), whose sum is σ = 6126556800. Its totient is φ = 666468000.

The previous prime is 2210530999. The next prime is 2210531033. The reversal of 2210531004 is 4001350122.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64779 + ... + 92829.

Almost surely, 22210531004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210531004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063278400).

2210531004 is an abundant number, since it is smaller than the sum of its proper divisors (3916025796).

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

2210531004 is a wasteful number, since it uses less digits than its factorization.

2210531004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28271 (or 28266 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2210531004 is about 47016.2844554948. The cubic root of 2210531004 is about 1302.6633767577.

Adding to 2210531004 its reverse (4001350122), we get a palindrome (6211881126).

The spelling of 2210531004 in words is "two billion, two hundred ten million, five hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 199 396 398 597 796 1194 1791 2189 2388 3582 4378 6567 7164 8756 13134 19701 26268 28051 39402 56102 78804 84153 112204 168306 252459 308561 336612 504918 617122 925683 1009836 1234244 1851366 2777049 3702732 5554098 5582149 11108196 11164298 16746447 22328596 33492894 50239341 61403639 66985788 100478682 122807278 184210917 200957364 245614556 368421834 552632751 736843668 1105265502 2210531004