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2980224 = 273213199
BaseRepresentation
bin1011010111100110000000
312121102002200
423113212000
51230331344
6143513200
734221462
oct13274600
95542080
102980224
1117560a5
12bb8800
13804660
14578132
153dd069
hex2d7980

2980224 has 96 divisors (see below), whose sum is σ = 9282000. Its totient is φ = 912384.

The previous prime is 2980217. The next prime is 2980231. The reversal of 2980224 is 4220892.

It is an interprime number because it is at equal distance from previous prime (2980217) and next prime (2980231).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

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, 14877 + ... + 15075.

22980224 is an apocalyptic number.

2980224 is a gapful number since it is divisible by the number (24) 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 2980224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4641000).

2980224 is an abundant number, since it is smaller than the sum of its proper divisors (6301776).

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

2980224 is a wasteful number, since it uses less digits than its factorization.

2980224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

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

The square root of 2980224 is about 1726.3325288020. The cubic root of 2980224 is about 143.9073478061.

The spelling of 2980224 in words is "two million, nine hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 199 208 234 288 312 384 398 416 468 576 597 624 796 832 936 1152 1194 1248 1592 1664 1791 1872 2388 2496 2587 3184 3582 3744 4776 4992 5174 6368 7164 7488 7761 9552 10348 12736 14328 14976 15522 19104 20696 23283 25472 28656 31044 38208 41392 46566 57312 62088 76416 82784 93132 114624 124176 165568 186264 229248 248352 331136 372528 496704 745056 993408 1490112 2980224