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2253480 = 233589211
BaseRepresentation
bin1000100110001010101000
311020111012020
420212022220
51034102410
6120144440
725103625
oct10461250
94214166
102253480
1112aa089
12908120
1360b928
1442934c
152e7a70
hex2262a8

2253480 has 64 divisors (see below), whose sum is σ = 6868800. Its totient is φ = 591360.

The previous prime is 2253479. The next prime is 2253481. The reversal of 2253480 is 843522.

It is an interprime number because it is at equal distance from previous prime (2253479) and next prime (2253481).

It is a super-2 number, since 2×22534802 = 10156344220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2253480.

It is not an unprimeable number, because it can be changed into a prime (2253481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10575 + ... + 10785.

It is an arithmetic number, because the mean of its divisors is an integer number (107325).

22253480 is an apocalyptic number.

2253480 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 2253480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434400).

2253480 is an abundant number, since it is smaller than the sum of its proper divisors (4615320).

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

2253480 is a wasteful number, since it uses less digits than its factorization.

2253480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2253480 is about 1501.1595518132. The cubic root of 2253480 is about 131.1045918003.

The spelling of 2253480 in words is "two million, two hundred fifty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 211 267 356 422 445 534 633 712 844 890 1055 1068 1266 1335 1688 1780 2110 2136 2532 2670 3165 3560 4220 5064 5340 6330 8440 10680 12660 18779 25320 37558 56337 75116 93895 112674 150232 187790 225348 281685 375580 450696 563370 751160 1126740 2253480