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2223262140 = 2235114876917
BaseRepresentation
bin1000010010000100…
…0100100110111100
312201221110102022020
42010201010212330
514023123342030
61004340120140
7106044262551
oct20441044674
95657412266
102223262140
11a40a78830
12520696050
132957b7838
141713b4a28
15d02b4510
hex848449bc

2223262140 has 96 divisors (see below), whose sum is σ = 6805983744. Its totient is φ = 537788160.

The previous prime is 2223262099. The next prime is 2223262147. The reversal of 2223262140 is 412623222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2223262140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223262147) 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, 317962 + ... + 324878.

It is an arithmetic number, because the mean of its divisors is an integer number (70895664).

Almost surely, 22223262140 is an apocalyptic number.

2223262140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223262140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402991872).

2223262140 is an abundant number, since it is smaller than the sum of its proper divisors (4582721604).

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

2223262140 is a wasteful number, since it uses less digits than its factorization.

2223262140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7427 (or 7425 counting only the distinct ones).

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

The square root of 2223262140 is about 47151.4807826859. The cubic root of 2223262140 is about 1305.1594056684.

Adding to 2223262140 its reverse (412623222), we get a palindrome (2635885362).

The spelling of 2223262140 in words is "two billion, two hundred twenty-three million, two hundred sixty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 487 660 974 1461 1948 2435 2922 4870 5357 5844 6917 7305 9740 10714 13834 14610 16071 20751 21428 26785 27668 29220 32142 34585 41502 53570 64284 69170 76087 80355 83004 103755 107140 138340 152174 160710 207510 228261 304348 321420 380435 415020 456522 760870 913044 1141305 1521740 2282610 3368579 4565220 6737158 10105737 13474316 16842895 20211474 33685790 37054369 40422948 50528685 67371580 74108738 101057370 111163107 148217476 185271845 202114740 222326214 370543690 444652428 555815535 741087380 1111631070 2223262140