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2234496 = 27311232
BaseRepresentation
bin1000100001100010000000
311012112011010
420201202000
51033000441
6115520520
724664365
oct10414200
94175133
102234496
1112968a0
128b9140
136030b4
1442246c
152e2116
hex221880

2234496 has 96 divisors (see below), whose sum is σ = 6768720. Its totient is φ = 647680.

The previous prime is 2234483. The next prime is 2234501. The reversal of 2234496 is 6944322.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97141 + ... + 97163.

22234496 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 2234496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384360).

2234496 is an abundant number, since it is smaller than the sum of its proper divisors (4534224).

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

2234496 is a wasteful number, since it uses less digits than its factorization.

2234496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 39 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 2234496 is about 1494.8230664530. The cubic root of 2234496 is about 130.7353981502.

The spelling of 2234496 in words is "two million, two hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 264 276 352 368 384 506 528 529 552 704 736 759 1012 1056 1058 1104 1408 1472 1518 1587 2024 2112 2116 2208 2944 3036 3174 4048 4224 4232 4416 5819 6072 6348 8096 8464 8832 11638 12144 12696 16192 16928 17457 23276 24288 25392 32384 33856 34914 46552 48576 50784 67712 69828 93104 97152 101568 139656 186208 203136 279312 372416 558624 744832 1117248 2234496