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2292920 = 235719431
BaseRepresentation
bin1000101111110010111000
311022111021222
420233302320
51041333140
6121051212
725326620
oct10576270
94274258
102292920
111326783
12926b08
13623876
14439880
153045b5
hex22fcb8

2292920 has 64 divisors (see below), whose sum is σ = 6220800. Its totient is φ = 743040.

The previous prime is 2292919. The next prime is 2292923. The reversal of 2292920 is 292922.

It is a self number, because there is not a number n which added to its sum of digits gives 2292920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2292923) 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, 5105 + ... + 5535.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

22292920 is an apocalyptic number.

2292920 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 2292920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110400).

2292920 is an abundant number, since it is smaller than the sum of its proper divisors (3927880).

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

2292920 is a wasteful number, since it uses less digits than its factorization.

2292920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 2292920 is about 1514.2390828400. The cubic root of 2292920 is about 131.8650288576.

The spelling of 2292920 in words is "two million, two hundred ninety-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 431 532 665 760 862 1064 1330 1724 2155 2660 3017 3448 4310 5320 6034 8189 8620 12068 15085 16378 17240 24136 30170 32756 40945 57323 60340 65512 81890 114646 120680 163780 229292 286615 327560 458584 573230 1146460 2292920