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22948164 = 22331729431
BaseRepresentation
bin101011110001…
…0100101000100
31121011212222000
41113202211010
521333320124
62135505300
7366025161
oct127424504
947155860
1022948164
1111a54328
127828230
1349a62c5
143095068
1520346c9
hex15e2944

22948164 has 96 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 6935040.

The previous prime is 22948141. The next prime is 22948169. The reversal of 22948164 is 46184922.

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 (22948169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53029 + ... + 53459.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 222948164 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 22948164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

22948164 is an abundant number, since it is smaller than the sum of its proper divisors (42370236).

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

22948164 is a wasteful number, since it uses less digits than its factorization.

22948164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 482 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 22948164 is about 4790.4241983357. The cubic root of 22948164 is about 284.1728928078.

The spelling of 22948164 in words is "twenty-two million, nine hundred forty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 29 34 36 51 54 58 68 87 102 108 116 153 174 204 261 306 348 431 459 493 522 612 783 862 918 986 1044 1293 1479 1566 1724 1836 1972 2586 2958 3132 3879 4437 5172 5916 7327 7758 8874 11637 12499 13311 14654 15516 17748 21981 23274 24998 26622 29308 37497 43962 46548 49996 53244 65943 74994 87924 112491 131886 149988 197829 212483 224982 263772 337473 395658 424966 449964 637449 674946 791316 849932 1274898 1349892 1912347 2549796 3824694 5737041 7649388 11474082 22948164