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2298480 = 243561157
BaseRepresentation
bin1000110001001001110000
311022202220220
420301021300
51042022410
6121133040
725352052
oct10611160
94282826
102298480
11132a978
1292a180
13626262
1443b8d2
15306070
hex231270

2298480 has 80 divisors (see below), whose sum is σ = 7288224. Its totient is φ = 599040.

The previous prime is 2298469. The next prime is 2298481. The reversal of 2298480 is 848922.

It is a tau number, because it is divible by the number of its divisors (80).

2298480 is an undulating number in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2298481) 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, 14562 + ... + 14718.

22298480 is an apocalyptic number.

2298480 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 2298480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644112).

2298480 is an abundant number, since it is smaller than the sum of its proper divisors (4989744).

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

2298480 is a wasteful number, since it uses less digits than its factorization.

2298480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2298480 is about 1516.0738768279. The cubic root of 2298480 is about 131.9715273758.

The spelling of 2298480 in words is "two million, two hundred ninety-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 157 183 240 244 305 314 366 471 488 610 628 732 785 915 942 976 1220 1256 1464 1570 1830 1884 2355 2440 2512 2928 3140 3660 3768 4710 4880 6280 7320 7536 9420 9577 12560 14640 18840 19154 28731 37680 38308 47885 57462 76616 95770 114924 143655 153232 191540 229848 287310 383080 459696 574620 766160 1149240 2298480