Search a number
-
+
268922916 = 22342928621
BaseRepresentation
bin10000000001110…
…111000000100100
3200202000200220000
4100001313000210
51022321013131
642403541300
76443543553
oct2001670044
9622020800
10268922916
11128888849
127608a830
13439397b2
1427a03d9a
1518920ce6
hex10077024

268922916 has 60 divisors (see below), whose sum is σ = 727285020. Its totient is φ = 86546880.

The previous prime is 268922911. The next prime is 268922921. The reversal of 268922916 is 619229862.

It is an interprime number because it is at equal distance from previous prime (268922911) and next prime (268922921).

It can be written as a sum of positive squares in 2 ways, for example, as 51065316 + 217857600 = 7146^2 + 14760^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268922911) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4915 + ... + 23706.

It is an arithmetic number, because the mean of its divisors is an integer number (12121417).

Almost surely, 2268922916 is an apocalyptic number.

It is an amenable number.

268922916 is an abundant number, since it is smaller than the sum of its proper divisors (458362104).

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

268922916 is a wasteful number, since it uses less digits than its factorization.

268922916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28666 (or 28655 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 268922916 is about 16398.8693512693. The cubic root of 268922916 is about 645.4698145480.

The spelling of 268922916 in words is "two hundred sixty-eight million, nine hundred twenty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 28621 57242 85863 114484 171726 257589 343452 515178 772767 830009 1030356 1545534 1660018 2318301 2490027 3091068 3320036 4636602 4980054 7470081 9273204 9960108 14940162 22410243 29880324 44820486 67230729 89640972 134461458 268922916