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2273408436 = 22313173127653
BaseRepresentation
bin1000011110000001…
…0111010110110100
312212102211010002110
42013200113112310
514123443032221
61013331011020
7110223436635
oct20740272664
95772733073
102273408436
11a67309452
12535439a70
132a2cc46c0
14177d0988c
15d48bc776
hex878175b4

2273408436 has 96 divisors (see below), whose sum is σ = 6244051968. Its totient is φ = 637102080.

The previous prime is 2273408411. The next prime is 2273408441. The reversal of 2273408436 is 6348043722.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2273408394 and 2273408403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68386 + ... + 96038.

It is an arithmetic number, because the mean of its divisors is an integer number (65042208).

Almost surely, 22273408436 is an apocalyptic number.

2273408436 is a gapful number since it is divisible by the number (26) 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 2273408436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122025984).

2273408436 is an abundant number, since it is smaller than the sum of its proper divisors (3970643532).

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

2273408436 is a wasteful number, since it uses less digits than its factorization.

2273408436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27721 (or 27719 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 2273408436 is about 47680.2730277418. The cubic root of 2273408436 is about 1314.8992845513.

The spelling of 2273408436 in words is "two billion, two hundred seventy-three million, four hundred eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 17 26 31 34 39 51 52 62 68 78 93 102 124 156 186 204 221 372 403 442 527 663 806 884 1054 1209 1326 1581 1612 2108 2418 2652 3162 4836 6324 6851 13702 20553 27404 27653 41106 55306 82212 82959 110612 165918 331836 359489 470101 718978 857243 940202 1078467 1410303 1437956 1714486 1880404 2156934 2571729 2820606 3428972 4313868 5143458 5641212 6111313 10286916 11144159 12222626 14573131 18333939 22288318 24445252 29146262 33432477 36667878 43719393 44576636 58292524 66864954 73335756 87438786 133729908 174877572 189450703 378901406 568352109 757802812 1136704218 2273408436