Search a number
-
+
2231640 = 233256199
BaseRepresentation
bin1000100000110101011000
311012101020100
420200311120
51032403030
6115455400
724653145
oct10406530
94171210
102231640
111294734
128b7560
136019c8
144213cc
152e1360
hex220d58

2231640 has 48 divisors (see below), whose sum is σ = 7254000. Its totient is φ = 595008.

The previous prime is 2231627. The next prime is 2231653. The reversal of 2231640 is 461322.

It is a happy number.

2231640 is a `hidden beast` number, since 2 + 23 + 1 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2231627) and next prime (2231653).

It is a super-3 number, since 3×22316403 = 33342154997504832000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2740 + ... + 3459.

It is an arithmetic number, because the mean of its divisors is an integer number (151125).

22231640 is an apocalyptic number.

2231640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231640 is an abundant number, since it is smaller than the sum of its proper divisors (5022360).

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

2231640 is a wasteful number, since it uses less digits than its factorization.

2231640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6216 (or 6209 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2231640 is about 1493.8674640007. The cubic root of 2231640 is about 130.6796749972.

Adding to 2231640 its reverse (461322), we get a palindrome (2692962).

The spelling of 2231640 in words is "two million, two hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 6199 12398 18597 24796 30995 37194 49592 55791 61990 74388 92985 111582 123980 148776 185970 223164 247960 278955 371940 446328 557910 743880 1115820 2231640