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5722164 = 22357292
BaseRepresentation
bin10101110101000000110100
3101202201100000
4111311000310
52431102124
6322351300
766431460
oct25650064
911681300
105722164
113259168
121abb530
1312546c6
14a8d4a0
157806c9
hex575034

5722164 has 108 divisors (see below), whose sum is σ = 17754464. Its totient is φ = 1578528.

The previous prime is 5722153. The next prime is 5722177. The reversal of 5722164 is 4612275.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3360) is a multiple of the sum of its prime factors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 197302 + ... + 197330.

Almost surely, 25722164 is an apocalyptic number.

5722164 is a gapful number since it is divisible by the number (54) 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 5722164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8877232).

5722164 is an abundant number, since it is smaller than the sum of its proper divisors (12032300).

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

5722164 is a wasteful number, since it uses less digits than its factorization.

5722164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 5722164 is about 2392.1045127669. The cubic root of 5722164 is about 178.8628309430.

It can be divided in two parts, 5722 and 164, that added together give a triangular number (5886 = T108).

The spelling of 5722164 in words is "five million, seven hundred twenty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 81 84 87 108 116 126 162 174 189 203 243 252 261 324 348 378 406 486 522 567 609 756 783 812 841 972 1044 1134 1218 1566 1682 1701 1827 2268 2349 2436 2523 3132 3364 3402 3654 4698 5046 5481 5887 6804 7047 7308 7569 9396 10092 10962 11774 14094 15138 16443 17661 21924 22707 23548 28188 30276 32886 35322 45414 49329 52983 65772 68121 70644 90828 98658 105966 136242 158949 197316 204363 211932 272484 317898 408726 476847 635796 817452 953694 1430541 1907388 2861082 5722164