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2213021034 = 233717932707
BaseRepresentation
bin1000001111101000…
…0000010101101010
312201020012010011000
42003322000111222
514013013133114
61003332415430
7105561240240
oct20372002552
95636163130
102213021034
11a36213504
12519177576
13293640303
1416dcaa790
15ce43ee09
hex83e8056a

2213021034 has 64 divisors (see below), whose sum is σ = 5651942400. Its totient is φ = 628740144.

The previous prime is 2213021011. The next prime is 2213021039. The reversal of 2213021034 is 4301203122.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2213020998 and 2213021016.

It is not an unprimeable number, because it can be changed into a prime (2213021039) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 51309 + ... + 84015.

It is an arithmetic number, because the mean of its divisors is an integer number (88311600).

Almost surely, 22213021034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213021034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825971200).

2213021034 is an abundant number, since it is smaller than the sum of its proper divisors (3438921366).

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

2213021034 is a wasteful number, since it uses less digits than its factorization.

2213021034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32904 (or 32898 counting only the distinct ones).

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

The square root of 2213021034 is about 47042.7575084624. The cubic root of 2213021034 is about 1303.1523171542.

Adding to 2213021034 its reverse (4301203122), we get a palindrome (6514224156).

The spelling of 2213021034 in words is "two billion, two hundred thirteen million, twenty-one thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 179 189 358 378 537 1074 1253 1611 2506 3222 3759 4833 7518 9666 11277 22554 32707 33831 65414 67662 98121 196242 228949 294363 457898 588726 686847 883089 1373694 1766178 2060541 4121082 5854553 6181623 11709106 12363246 17563659 35127318 40981871 52690977 81963742 105381954 122945613 158072931 245891226 316145862 368836839 737673678 1106510517 2213021034