Search a number
-
+
22157760 = 263523081
BaseRepresentation
bin101010010000…
…1100111000000
31112200201201210
41110201213000
521133022020
62110530120
7356223612
oct124414700
945621653
1022157760
11115644a9
127506940
13478a601
142d2adb2
151e2a3e0
hex15219c0

22157760 has 56 divisors (see below), whose sum is σ = 70353936. Its totient is φ = 5908480.

The previous prime is 22157741. The next prime is 22157767. The reversal of 22157760 is 6775122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22157767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10581 + ... + 12500.

Almost surely, 222157760 is an apocalyptic number.

22157760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22157760 is an abundant number, since it is smaller than the sum of its proper divisors (48196176).

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

22157760 is a wasteful number, since it uses less digits than its factorization.

22157760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23101 (or 23091 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 22157760 is about 4707.2029911615. The cubic root of 22157760 is about 280.8721107647.

The spelling of 22157760 in words is "twenty-two million, one hundred fifty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 23081 46162 69243 92324 115405 138486 184648 230810 276972 346215 369296 461620 553944 692430 738592 923240 1107888 1384860 1477184 1846480 2215776 2769720 3692960 4431552 5539440 7385920 11078880 22157760