Search a number
-
+
22349952 = 273329223
BaseRepresentation
bin101010101000…
…0100010000000
31120001111101000
41111100202000
521210144302
62115012000
7360654132
oct125204200
946044330
1022349952
1111685939
12759a000
134826c31
142d7b052
151e6731c
hex1550880

22349952 has 128 divisors (see below), whose sum is σ = 68544000. Its totient is φ = 7160832.

The previous prime is 22349939. The next prime is 22349953. The reversal of 22349952 is 25994322.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (22349953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100113 + ... + 100335.

It is an arithmetic number, because the mean of its divisors is an integer number (535500).

Almost surely, 222349952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22349952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34272000).

22349952 is an abundant number, since it is smaller than the sum of its proper divisors (46194048).

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

22349952 is a wasteful number, since it uses less digits than its factorization.

22349952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 257 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 22349952 is about 4727.5735848319. The cubic root of 22349952 is about 281.6818503460.

The spelling of 22349952 in words is "twenty-two million, three hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 223 232 261 288 348 384 432 446 464 522 576 669 696 783 864 892 928 1044 1152 1338 1392 1566 1728 1784 1856 2007 2088 2676 2784 3132 3456 3568 3712 4014 4176 5352 5568 6021 6264 6467 7136 8028 8352 10704 11136 12042 12528 12934 14272 16056 16704 19401 21408 24084 25056 25868 28544 32112 33408 38802 42816 48168 50112 51736 58203 64224 77604 85632 96336 100224 103472 116406 128448 155208 174609 192672 206944 232812 256896 310416 349218 385344 413888 465624 620832 698436 770688 827776 931248 1241664 1396872 1862496 2483328 2793744 3724992 5587488 7449984 11174976 22349952