Search a number
-
+
2233213220 = 2257213671667
BaseRepresentation
bin1000010100011100…
…0010000100100100
312202122011222121202
42011013002010210
514033200310340
61005333302032
7106224666500
oct20507020444
95678158552
102233213220
11a46655167
12523a94918
13297890054
14172845300
15d10ccc15
hex851c2124

2233213220 has 72 divisors (see below), whose sum is σ = 5462686656. Its totient is φ = 764654016.

The previous prime is 2233213219. The next prime is 2233213243. The reversal of 2233213220 is 223123322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2233213192 and 2233213201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1338827 + ... + 1340493.

It is an arithmetic number, because the mean of its divisors is an integer number (75870648).

Almost surely, 22233213220 is an apocalyptic number.

2233213220 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 2233213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731343328).

2233213220 is an abundant number, since it is smaller than the sum of its proper divisors (3229473436).

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

2233213220 is a wasteful number, since it uses less digits than its factorization.

2233213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2233213220 is about 47256.8854242427. The cubic root of 2233213220 is about 1307.1037582511.

Adding to 2233213220 its reverse (223123322), we get a palindrome (2456336542).

The spelling of 2233213220 in words is "two billion, two hundred thirty-three million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1367 1667 2734 3334 5468 6668 6835 8335 9569 11669 13670 16670 19138 23338 27340 33340 38276 46676 47845 58345 66983 81683 95690 116690 133966 163366 191380 233380 267932 326732 334915 408415 669830 816830 1339660 1633660 2278789 4557578 9115156 11393945 15951523 22787890 31903046 45575780 63806092 79757615 111660661 159515230 223321322 319030460 446642644 558303305 1116606610 2233213220