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2293788 = 223724783
BaseRepresentation
bin1000110000000000011100
311022112111010
420300000130
51041400123
6121055220
725332300
oct10600034
94275433
102293788
1113273a2
12927510
13624093
14439d00
15304993
hex23001c

2293788 has 72 divisors (see below), whose sum is σ = 6435072. Its totient is φ = 633696.

The previous prime is 2293777. The next prime is 2293789. The reversal of 2293788 is 8873922.

It is a super-2 number, since 2×22937882 = 10522926777888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293789) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27595 + ... + 27677.

It is an arithmetic number, because the mean of its divisors is an integer number (89376).

22293788 is an apocalyptic number.

2293788 is a gapful number since it is divisible by the number (28) 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 2293788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217536).

2293788 is an abundant number, since it is smaller than the sum of its proper divisors (4141284).

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

2293788 is a wasteful number, since it uses less digits than its factorization.

2293788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 2293788 is about 1514.5256683200. The cubic root of 2293788 is about 131.8816662174.

It can be divided in two parts, 2293 and 788, that added together give a triangular number (3081 = T78).

The spelling of 2293788 in words is "two million, two hundred ninety-three thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 83 84 94 98 141 147 166 188 196 249 282 294 329 332 498 564 581 588 658 987 996 1162 1316 1743 1974 2303 2324 3486 3901 3948 4067 4606 6909 6972 7802 8134 9212 11703 12201 13818 15604 16268 23406 24402 27307 27636 46812 48804 54614 81921 109228 163842 191149 327684 382298 573447 764596 1146894 2293788