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293225340 = 223522921341
BaseRepresentation
bin10001011110100…
…100001101111100
3202102202101112210
4101132210031330
51100031202330
645032500420
710160242242
oct2136441574
9672671483
10293225340
111405775a1
128224a710
1348998325
142ad2c792
151ab218b0
hex117a437c

293225340 has 48 divisors (see below), whose sum is σ = 824654880. Its totient is φ = 77848320.

The previous prime is 293225279. The next prime is 293225341. The reversal of 293225340 is 43522392.

It is a super-2 number, since 2×2932253402 = 171962200036231200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 293225298 and 293225307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293225341) 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, 3070 + ... + 24410.

It is an arithmetic number, because the mean of its divisors is an integer number (17180310).

Almost surely, 2293225340 is an apocalyptic number.

293225340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

293225340 is an abundant number, since it is smaller than the sum of its proper divisors (531429540).

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

293225340 is a wasteful number, since it uses less digits than its factorization.

293225340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21582 (or 21580 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 293225340 is about 17123.8237552248. The cubic root of 293225340 is about 664.3554460931.

The spelling of 293225340 in words is "two hundred ninety-three million, two hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 229 458 687 916 1145 1374 2290 2748 3435 4580 6870 13740 21341 42682 64023 85364 106705 128046 213410 256092 320115 426820 640230 1280460 4887089 9774178 14661267 19548356 24435445 29322534 48870890 58645068 73306335 97741780 146612670 293225340