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2248470 = 232574383
BaseRepresentation
bin1000100100111100010110
311020020022200
420210330112
51033422340
6120105330
725053210
oct10447426
94206280
102248470
1112a6344
12905246
13609573
144275b0
152e6330
hex224f16

2248470 has 96 divisors (see below), whose sum is σ = 6918912. Its totient is φ = 495936.

The previous prime is 2248469. The next prime is 2248489. The reversal of 2248470 is 748422.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27049 + ... + 27131.

It is an arithmetic number, because the mean of its divisors is an integer number (72072).

22248470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2248470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459456).

2248470 is an abundant number, since it is smaller than the sum of its proper divisors (4670442).

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

2248470 is a wasteful number, since it uses less digits than its factorization.

2248470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2248470 is about 1499.4899132705. The cubic root of 2248470 is about 131.0073612397.

The spelling of 2248470 in words is "two million, two hundred forty-eight thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 43 45 63 70 83 86 90 105 126 129 166 210 215 249 258 301 315 387 415 430 498 581 602 630 645 747 774 830 903 1162 1245 1290 1494 1505 1743 1806 1935 2490 2709 2905 3010 3486 3569 3735 3870 4515 5229 5418 5810 7138 7470 8715 9030 10458 10707 13545 17430 17845 21414 24983 26145 27090 32121 35690 49966 52290 53535 64242 74949 107070 124915 149898 160605 224847 249830 321210 374745 449694 749490 1124235 2248470