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2294136 = 2333131943
BaseRepresentation
bin1000110000000101111000
311022112222000
420300011320
51041403021
6121101000
725333305
oct10600570
94275860
102294136
111327689
12927760
136242a0
1443a0ac
15304b26
hex230178

2294136 has 128 divisors (see below), whose sum is σ = 7392000. Its totient is φ = 653184.

The previous prime is 2294113. The next prime is 2294137. The reversal of 2294136 is 6314922.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2294137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53331 + ... + 53373.

It is an arithmetic number, because the mean of its divisors is an integer number (57750).

22294136 is an apocalyptic number.

2294136 is a gapful number since it is divisible by the number (26) 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 2294136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696000).

2294136 is an abundant number, since it is smaller than the sum of its proper divisors (5097864).

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

2294136 is a wasteful number, since it uses less digits than its factorization.

2294136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 80 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2294136 is about 1514.6405514181. The cubic root of 2294136 is about 131.8883353166. Note that the first 3 decimals are identical.

The spelling of 2294136 in words is "two million, two hundred ninety-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 43 52 54 57 72 76 78 86 104 108 114 117 129 152 156 171 172 216 228 234 247 258 312 342 344 351 387 456 468 494 513 516 559 684 702 741 774 817 936 988 1026 1032 1118 1161 1368 1404 1482 1548 1634 1677 1976 2052 2223 2236 2322 2451 2808 2964 3096 3268 3354 4104 4446 4472 4644 4902 5031 5928 6536 6669 6708 7353 8892 9288 9804 10062 10621 13338 13416 14706 15093 17784 19608 20124 21242 22059 26676 29412 30186 31863 40248 42484 44118 53352 58824 60372 63726 84968 88236 95589 120744 127452 176472 191178 254904 286767 382356 573534 764712 1147068 2294136