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2264880 = 24359437
BaseRepresentation
bin1000101000111100110000
311021001211110
420220330300
51034434010
6120313320
725152102
oct10507460
94231743
102264880
111307702
12912840
13613b87
1442d572
152eb120
hex228f30

2264880 has 40 divisors (see below), whose sum is σ = 7021872. Its totient is φ = 603904.

The previous prime is 2264863. The next prime is 2264897. The reversal of 2264880 is 884622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2264863) and next prime (2264897).

It is a tau number, because it is divible by the number of its divisors (40).

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

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, 4479 + ... + 4958.

22264880 is an apocalyptic number.

2264880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2264880 is an abundant number, since it is smaller than the sum of its proper divisors (4756992).

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

2264880 is a wasteful number, since it uses less digits than its factorization.

2264880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9453 (or 9447 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2264880 is about 1504.9518264715. The cubic root of 2264880 is about 131.3252991956.

The spelling of 2264880 in words is "two million, two hundred sixty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 9437 18874 28311 37748 47185 56622 75496 94370 113244 141555 150992 188740 226488 283110 377480 452976 566220 754960 1132440 2264880