Search a number
-
+
22071504 = 24371331163
BaseRepresentation
bin101010000110…
…0100011010000
31112112100102010
41110030203100
521122242004
62105022520
7355414260
oct124144320
945470363
1022071504
1111505714
127484a40
13475a280
142d077a0
151e0ea89
hex150c8d0

22071504 has 160 divisors (see below), whose sum is σ = 72884224. Its totient is φ = 5598720.

The previous prime is 22071463. The next prime is 22071551. The reversal of 22071504 is 40517022.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135327 + ... + 135489.

Almost surely, 222071504 is an apocalyptic number.

22071504 is a gapful number since it is divisible by the number (24) 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 22071504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36442112).

22071504 is an abundant number, since it is smaller than the sum of its proper divisors (50812720).

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

22071504 is a wasteful number, since it uses less digits than its factorization.

22071504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 22071504 is about 4698.0319283717. The cubic root of 22071504 is about 280.5071760137.

Adding to 22071504 its reverse (40517022), we get a palindrome (62588526).

The spelling of 22071504 in words is "twenty-two million, seventy-one thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 48 52 56 62 78 84 91 93 104 112 124 156 163 168 182 186 208 217 248 273 312 326 336 364 372 403 434 489 496 546 624 651 652 728 744 806 868 978 1092 1141 1209 1302 1304 1456 1488 1612 1736 1956 2119 2184 2282 2418 2604 2608 2821 3224 3423 3472 3912 4238 4368 4564 4836 5053 5208 5642 6357 6448 6846 7824 8463 8476 9128 9672 10106 10416 11284 12714 13692 14833 15159 16926 16952 18256 19344 20212 22568 25428 27384 29666 30318 33852 33904 35371 40424 44499 45136 50856 54768 59332 60636 65689 67704 70742 80848 88998 101712 106113 118664 121272 131378 135408 141484 177996 197067 212226 237328 242544 262756 282968 355992 394134 424452 459823 525512 565936 711984 788268 848904 919646 1051024 1379469 1576536 1697808 1839292 2758938 3153072 3678584 5517876 7357168 11035752 22071504