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22714328 = 2371341761
BaseRepresentation
bin101011010100…
…1011111011000
31120202000012102
41112221133120
521303324303
62130502532
7364032350
oct126513730
946660172
1022714328
111190467a
127734a48
134923a40
143033b60
151eda288
hex15a97d8

22714328 has 64 divisors (see below), whose sum is σ = 53766720. Its totient is φ = 8755200.

The previous prime is 22714327. The next prime is 22714333. The reversal of 22714328 is 82341722.

It is a self number, because there is not a number n which added to its sum of digits gives 22714328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22714327) 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, 29468 + ... + 30228.

It is an arithmetic number, because the mean of its divisors is an integer number (840105).

Almost surely, 222714328 is an apocalyptic number.

22714328 is a gapful number since it is divisible by the number (28) 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 22714328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26883360).

22714328 is an abundant number, since it is smaller than the sum of its proper divisors (31052392).

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

22714328 is a wasteful number, since it uses less digits than its factorization.

22714328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 824 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 22714328 is about 4765.9550984037. The cubic root of 22714328 is about 283.2043789954.

The spelling of 22714328 in words is "twenty-two million, seven hundred fourteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 41 52 56 82 91 104 164 182 287 328 364 533 574 728 761 1066 1148 1522 2132 2296 3044 3731 4264 5327 6088 7462 9893 10654 14924 19786 21308 29848 31201 39572 42616 62402 69251 79144 124804 138502 218407 249608 277004 405613 436814 554008 811226 873628 1622452 1747256 2839291 3244904 5678582 11357164 22714328