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2279952 = 243271223
BaseRepresentation
bin1000101100101000010000
311021211111200
420230220100
51040424302
6120511200
725244043
oct10545020
94254450
102279952
111317a64
1291b500
1361a9ac
14434c5a
1530081c
hex22ca10

2279952 has 60 divisors (see below), whose sum is σ = 6499584. Its totient is φ = 745920.

The previous prime is 2279933. The next prime is 2279993. The reversal of 2279952 is 2599722.

It is a super-2 number, since 2×22799522 = 10396362244608, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 10113 + ... + 10335.

22279952 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 2279952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249792).

2279952 is an abundant number, since it is smaller than the sum of its proper divisors (4219632).

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

2279952 is a wasteful number, since it uses less digits than its factorization.

2279952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 299 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 2279952 is about 1509.9509925822. The cubic root of 2279952 is about 131.6159636711.

The spelling of 2279952 in words is "two million, two hundred seventy-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 223 284 426 446 568 639 669 852 892 1136 1278 1338 1704 1784 2007 2556 2676 3408 3568 4014 5112 5352 8028 10224 10704 15833 16056 31666 32112 47499 63332 94998 126664 142497 189996 253328 284994 379992 569988 759984 1139976 2279952