[go: up one dir, main page]

Search a number
-
+
22113520 = 24511131933
BaseRepresentation
bin101010001011…
…0110011110000
31112121111001021
41110112303300
521130113040
62105545224
7355650622
oct124266360
945544037
1022113520
1111534240
1274a5214
134773430
142d18c12
151e1c24a
hex1516cf0

22113520 has 80 divisors (see below), whose sum is σ = 60433632. Its totient is φ = 7418880.

The previous prime is 22113503. The next prime is 22113521. The reversal of 22113520 is 2531122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22113494 and 22113503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22113521) 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, 10474 + ... + 12406.

Almost surely, 222113520 is an apocalyptic number.

22113520 is a gapful number since it is divisible by the number (20) 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 22113520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30216816).

22113520 is an abundant number, since it is smaller than the sum of its proper divisors (38320112).

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

22113520 is a wasteful number, since it uses less digits than its factorization.

22113520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 22113520 is about 4702.5014619881. The cubic root of 22113520 is about 280.6850572433.

Adding to 22113520 its reverse (2531122), we get a palindrome (24644642).

The spelling of 22113520 in words is "twenty-two million, one hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 1933 2288 2860 3866 5720 7732 9665 11440 15464 19330 21263 25129 30928 38660 42526 50258 77320 85052 100516 106315 125645 154640 170104 201032 212630 251290 276419 340208 402064 425260 502580 552838 850520 1005160 1105676 1382095 1701040 2010320 2211352 2764190 4422704 5528380 11056760 22113520