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2253540 = 223523271
BaseRepresentation
bin1000100110001011100100
311020111021110
420212023210
51034103130
6120145020
725104042
oct10461344
94214243
102253540
1112aa133
12908170
1360b973
14429392
152e7ab0
hex2262e4

2253540 has 72 divisors (see below), whose sum is σ = 6689088. Its totient is φ = 566720.

The previous prime is 2253539. The next prime is 2253547. The reversal of 2253540 is 453522.

It is a super-3 number, since 3×22535403 = 34333420147985592000, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2253547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31705 + ... + 31775.

It is an arithmetic number, because the mean of its divisors is an integer number (92904).

22253540 is an apocalyptic number.

2253540 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 2253540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344544).

2253540 is an abundant number, since it is smaller than the sum of its proper divisors (4435548).

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

2253540 is a wasteful number, since it uses less digits than its factorization.

2253540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 2253540 is about 1501.1795362314. The cubic root of 2253540 is about 131.1057553644.

The spelling of 2253540 in words is "two million, two hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 71 92 115 138 142 213 230 276 284 345 355 426 460 529 690 710 852 1058 1065 1380 1420 1587 1633 2116 2130 2645 3174 3266 4260 4899 5290 6348 6532 7935 8165 9798 10580 15870 16330 19596 24495 31740 32660 37559 48990 75118 97980 112677 150236 187795 225354 375590 450708 563385 751180 1126770 2253540