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2279472 = 243132281
BaseRepresentation
bin1000101100100000110000
311021210211220
420230200300
51040420342
6120505040
725242456
oct10544060
94253756
102279472
111317668
1291b180
1361a700
144349d6
153005ec
hex22c830

2279472 has 60 divisors (see below), whose sum is σ = 6399144. Its totient is φ = 698880.

The previous prime is 2279471. The next prime is 2279489. The reversal of 2279472 is 2749722.

It is not an unprimeable number, because it can be changed into a prime (2279471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7972 + ... + 8252.

22279472 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 2279472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199572).

2279472 is an abundant number, since it is smaller than the sum of its proper divisors (4119672).

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

2279472 is a wasteful number, since it uses less digits than its factorization.

2279472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 299 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 2279472 is about 1509.7920386596. The cubic root of 2279472 is about 131.6067266204.

The spelling of 2279472 in words is "two million, two hundred seventy-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 281 312 338 507 562 624 676 843 1014 1124 1352 1686 2028 2248 2704 3372 3653 4056 4496 6744 7306 8112 10959 13488 14612 21918 29224 43836 47489 58448 87672 94978 142467 175344 189956 284934 379912 569868 759824 1139736 2279472