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2922912 = 253317199
BaseRepresentation
bin1011001001100110100000
312111111111000
423021212200
51222013122
6142352000
733562416
oct13114640
95444430
102922912
111717033
12b8b600
137b4545
145612b6
153cb0ac
hex2c99a0

2922912 has 96 divisors (see below), whose sum is σ = 9072000. Its totient is φ = 912384.

The previous prime is 2922911. The next prime is 2922961. The reversal of 2922912 is 2192292.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (2922911) 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, 14589 + ... + 14787.

It is an arithmetic number, because the mean of its divisors is an integer number (94500).

22922912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2922912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536000).

2922912 is an abundant number, since it is smaller than the sum of its proper divisors (6149088).

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

2922912 is a wasteful number, since it uses less digits than its factorization.

2922912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 2922912 is about 1709.6525962897. The cubic root of 2922912 is about 142.9788874564.

It can be divided in two parts, 29229 and 12, that added together give a square (29241 = 1712).

The spelling of 2922912 in words is "two million, nine hundred twenty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 199 204 216 272 288 306 398 408 432 459 544 597 612 796 816 864 918 1194 1224 1592 1632 1791 1836 2388 2448 3184 3383 3582 3672 4776 4896 5373 6368 6766 7164 7344 9552 10149 10746 13532 14328 14688 19104 20298 21492 27064 28656 30447 40596 42984 54128 57312 60894 81192 85968 91341 108256 121788 162384 171936 182682 243576 324768 365364 487152 730728 974304 1461456 2922912