Search a number
-
+
22887144 = 2333715137
BaseRepresentation
bin101011101001…
…1101011101000
31121001210021000
41113103223220
521324342034
62134315000
7365352240
oct127235350
947053230
1022887144
1111a124a5
1277b8a60
1349845b7
14307ab20
152021599
hex15d3ae8

22887144 has 64 divisors (see below), whose sum is σ = 72662400. Its totient is φ = 6538752.

The previous prime is 22887131. The next prime is 22887173. The reversal of 22887144 is 44178822.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 22887099 and 22887108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6057 + ... + 9080.

It is an arithmetic number, because the mean of its divisors is an integer number (1135350).

Almost surely, 222887144 is an apocalyptic number.

22887144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22887144 is an abundant number, since it is smaller than the sum of its proper divisors (49775256).

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

22887144 is a wasteful number, since it uses less digits than its factorization.

22887144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15159 (or 15149 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 22887144 is about 4784.0510030726. The cubic root of 22887144 is about 283.9207938875.

The spelling of 22887144 in words is "twenty-two million, eight hundred eighty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 15137 30274 45411 60548 90822 105959 121096 136233 181644 211918 272466 317877 363288 408699 423836 544932 635754 817398 847672 953631 1089864 1271508 1634796 1907262 2543016 2860893 3269592 3814524 5721786 7629048 11443572 22887144