Search a number
-
+
2189034940 = 225734013739
BaseRepresentation
bin1000001001111010…
…0000010110111100
312122120001111102011
42002132200112330
513440343104230
61001114341004
7105150330031
oct20236402674
95576044364
102189034940
11a23720394
1251112a764
1328b692761
1416aa25388
15cc2a2e2a
hex827a05bc

2189034940 has 48 divisors (see below), whose sum is σ = 4672815840. Its totient is φ = 861235200.

The previous prime is 2189034931. The next prime is 2189034943. The reversal of 2189034940 is 494309812.

It is a super-3 number, since 3×21890349403 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2189034893 and 2189034902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2189034943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583591 + ... + 587329.

It is an arithmetic number, because the mean of its divisors is an integer number (97350330).

Almost surely, 22189034940 is an apocalyptic number.

2189034940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2189034940 is an abundant number, since it is smaller than the sum of its proper divisors (2483780900).

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

2189034940 is a wasteful number, since it uses less digits than its factorization.

2189034940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4222 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 2189034940 is about 46787.1236559804. The cubic root of 2189034940 is about 1298.4270798794.

The spelling of 2189034940 in words is "two billion, one hundred eighty-nine million, thirty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 401 730 802 1460 1604 2005 3739 4010 7478 8020 14956 18695 29273 37390 58546 74780 117092 146365 272947 292730 545894 585460 1091788 1364735 1499339 2729470 2998678 5458940 5997356 7496695 14993390 29986780 109451747 218903494 437806988 547258735 1094517470 2189034940