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2264460 = 2235114773
BaseRepresentation
bin1000101000110110001100
311021001020220
420220312030
51034430320
6120311340
725150632
oct10506614
94231226
102264460
111307360
12912550
13613923
1442d352
152eae40
hex228d8c

2264460 has 96 divisors (see below), whose sum is σ = 7160832. Its totient is φ = 529920.

The previous prime is 2264453. The next prime is 2264467. The reversal of 2264460 is 644622.

It is an interprime number because it is at equal distance from previous prime (2264453) and next prime (2264467).

It is a self number, because there is not a number n which added to its sum of digits gives 2264460.

It is not an unprimeable number, because it can be changed into a prime (2264467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30984 + ... + 31056.

It is an arithmetic number, because the mean of its divisors is an integer number (74592).

22264460 is an apocalyptic number.

2264460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580416).

2264460 is an abundant number, since it is smaller than the sum of its proper divisors (4896372).

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

2264460 is a wasteful number, since it uses less digits than its factorization.

2264460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2264460 is about 1504.8122806516. The cubic root of 2264460 is about 131.3171810267.

It can be divided in two parts, 2 and 264460, that added together give a palindrome (264462).

The spelling of 2264460 in words is "two million, two hundred sixty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 73 94 110 132 141 146 165 188 219 220 235 282 292 330 365 438 470 517 564 660 705 730 803 876 940 1034 1095 1410 1460 1551 1606 2068 2190 2409 2585 2820 3102 3212 3431 4015 4380 4818 5170 6204 6862 7755 8030 9636 10293 10340 12045 13724 15510 16060 17155 20586 24090 31020 34310 37741 41172 48180 51465 68620 75482 102930 113223 150964 188705 205860 226446 377410 452892 566115 754820 1132230 2264460