Search a number
-
+
2083773244 = 227197615147
BaseRepresentation
bin111110000110011…
…1101101100111100
312101012222122111211
41330030331230330
513231421220434
6542434254204
7102431531440
oct17414755474
95335878454
102083773244
1197a265753
124a1a27364
13272929027
1415aa64820
15c2e0e464
hex7c33db3c

2083773244 has 48 divisors (see below), whose sum is σ = 4393509120. Its totient is φ = 844767360.

The previous prime is 2083773239. The next prime is 2083773257. The reversal of 2083773244 is 4423773802.

It is a super-2 number, since 2×20837732442 = 8684221864820567072, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2083773197 and 2083773206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402279 + ... + 407425.

It is an arithmetic number, because the mean of its divisors is an integer number (91531440).

Almost surely, 22083773244 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 2083773244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196754560).

2083773244 is an abundant number, since it is smaller than the sum of its proper divisors (2309735876).

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

2083773244 is a wasteful number, since it uses less digits than its factorization.

2083773244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5938 (or 5936 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The square root of 2083773244 is about 45648.3651843086. The cubic root of 2083773244 is about 1277.2722763809.

The spelling of 2083773244 in words is "two billion, eighty-three million, seven hundred seventy-three thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 761 1522 3044 5147 5327 10294 10654 14459 20588 21308 28918 36029 57836 72058 97793 101213 144116 195586 202426 391172 404852 684551 1369102 2738204 3916867 7833734 15667468 27418069 54836138 74420473 109672276 148840946 297681892 520943311 1041886622 2083773244