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2290968 = 233247677
BaseRepresentation
bin1000101111010100011000
311022101121200
420233110120
51041302333
6121034200
725321131
oct10572430
94271550
102290968
111325269
12925960
13622a04
14438c88
15303c13
hex22f518

2290968 has 48 divisors (see below), whose sum is σ = 6346080. Its totient is φ = 746304.

The previous prime is 2290943. The next prime is 2290969. The reversal of 2290968 is 8690922.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3046 + ... + 3722.

It is an arithmetic number, because the mean of its divisors is an integer number (132210).

22290968 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 2290968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173040).

2290968 is an abundant number, since it is smaller than the sum of its proper divisors (4055112).

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

2290968 is a wasteful number, since it uses less digits than its factorization.

2290968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2290968 is about 1513.5943974526. The cubic root of 2290968 is about 131.8275986210.

The spelling of 2290968 in words is "two million, two hundred ninety thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 677 846 1128 1354 1692 2031 2708 3384 4062 5416 6093 8124 12186 16248 24372 31819 48744 63638 95457 127276 190914 254552 286371 381828 572742 763656 1145484 2290968