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2264430 = 235741263
BaseRepresentation
bin1000101000110101101110
311021001012210
420220311232
51034430210
6120311250
725150560
oct10506556
94231183
102264430
111307333
12912526
136138cc
1442d330
152eae20
hex228d6e

2264430 has 64 divisors (see below), whose sum is σ = 6386688. Its totient is φ = 503040.

The previous prime is 2264429. The next prime is 2264443. The reversal of 2264430 is 344622.

2264430 = T236 + T237 + ... + T298.

2264430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2264397 and 2264406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8479 + ... + 8741.

It is an arithmetic number, because the mean of its divisors is an integer number (99792).

22264430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193344).

2264430 is an abundant number, since it is smaller than the sum of its proper divisors (4122258).

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

2264430 is a wasteful number, since it uses less digits than its factorization.

2264430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2264430 is about 1504.8023125979. The cubic root of 2264430 is about 131.3166011190.

It can be divided in two parts, 226 and 4430, that added together give a triangular number (4656 = T96).

The spelling of 2264430 in words is "two million, two hundred sixty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 263 287 410 526 574 615 789 861 1230 1315 1435 1578 1722 1841 2630 2870 3682 3945 4305 5523 7890 8610 9205 10783 11046 18410 21566 27615 32349 53915 55230 64698 75481 107830 150962 161745 226443 323490 377405 452886 754810 1132215 2264430