Search a number
-
+
2292480 = 28325199
BaseRepresentation
bin1000101111101100000000
311022110200200
420233230000
51041324410
6121045200
725325421
oct10575400
94273620
102292480
111326413
12926800
136235c8
14439648
153043c0
hex22fb00

2292480 has 108 divisors (see below), whose sum is σ = 7971600. Its totient is φ = 608256.

The previous prime is 2292469. The next prime is 2292491. The reversal of 2292480 is 842922.

2292480 = T41 + T42 + ... + T239.

It is an interprime number because it is at equal distance from previous prime (2292469) and next prime (2292491).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11421 + ... + 11619.

22292480 is an apocalyptic number.

2292480 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 2292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985800).

2292480 is an abundant number, since it is smaller than the sum of its proper divisors (5679120).

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

2292480 is a wasteful number, since it uses less digits than its factorization.

2292480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2292480 is about 1514.0937883764. The cubic root of 2292480 is about 131.8565935692.

It can be divided in two parts, 2292 and 480, that added together give a palindrome (2772).

The spelling of 2292480 in words is "two million, two hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 199 240 256 288 320 360 384 398 480 576 597 640 720 768 796 960 995 1152 1194 1280 1440 1592 1791 1920 1990 2304 2388 2880 2985 3184 3582 3840 3980 4776 5760 5970 6368 7164 7960 8955 9552 11520 11940 12736 14328 15920 17910 19104 23880 25472 28656 31840 35820 38208 47760 50944 57312 63680 71640 76416 95520 114624 127360 143280 152832 191040 229248 254720 286560 382080 458496 573120 764160 1146240 2292480