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2269920 = 25354729
BaseRepresentation
bin1000101010001011100000
311021022202010
420222023200
51040114140
6120352520
725202562
oct10521340
94238663
102269920
111310474
12915740
13616263
14431332
152ec880
hex22a2e0

2269920 has 48 divisors (see below), whose sum is σ = 7151760. Its totient is φ = 605184.

The previous prime is 2269909. The next prime is 2269931. The reversal of 2269920 is 299622.

It is an interprime number because it is at equal distance from previous prime (2269909) and next prime (2269931).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1885 + ... + 2844.

It is an arithmetic number, because the mean of its divisors is an integer number (148995).

22269920 is an apocalyptic number.

2269920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2269920 is an abundant number, since it is smaller than the sum of its proper divisors (4881840).

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

2269920 is a wasteful number, since it uses less digits than its factorization.

2269920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4747 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2269920 is about 1506.6253681656. The cubic root of 2269920 is about 131.4226390337.

The spelling of 2269920 in words is "two million, two hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4729 9458 14187 18916 23645 28374 37832 47290 56748 70935 75664 94580 113496 141870 151328 189160 226992 283740 378320 453984 567480 756640 1134960 2269920