[go: up one dir, main page]

Search a number
-
+
22402656 = 25354367
BaseRepresentation
bin101010101110…
…1011001100000
31120011011200000
41111131121200
521213341111
62120100000
7361263603
oct125353140
946134600
1022402656
11117114a1
127604600
134844c13
142d9233a
151e77c56
hex155d660

22402656 has 144 divisors (see below), whose sum is σ = 68612544. Its totient is φ = 7185024.

The previous prime is 22402631. The next prime is 22402657. The reversal of 22402656 is 65620422.

22402656 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 2 + 656 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22402657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334335 + ... + 334401.

It is an arithmetic number, because the mean of its divisors is an integer number (476476).

Almost surely, 222402656 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 22402656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34306272).

22402656 is an abundant number, since it is smaller than the sum of its proper divisors (46209888).

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

22402656 is an equidigital number, since it uses as much as digits as its factorization.

22402656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 22402656 is about 4733.1444093752. The cubic root of 22402656 is about 281.9030902860.

The spelling of 22402656 in words is "twenty-two million, four hundred two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 67 72 81 86 96 108 129 134 144 162 172 201 216 243 258 268 288 324 344 387 402 432 486 516 536 603 648 688 774 804 864 972 1032 1072 1161 1206 1296 1376 1548 1608 1809 1944 2064 2144 2322 2412 2592 2881 3096 3216 3483 3618 3888 4128 4644 4824 5427 5762 6192 6432 6966 7236 7776 8643 9288 9648 10449 10854 11524 12384 13932 14472 16281 17286 18576 19296 20898 21708 23048 25929 27864 28944 32562 34572 37152 41796 43416 46096 51858 55728 57888 65124 69144 77787 83592 86832 92192 103716 111456 130248 138288 155574 167184 173664 207432 233361 260496 276576 311148 334368 414864 466722 520992 622296 700083 829728 933444 1244592 1400166 1866888 2489184 2800332 3733776 5600664 7467552 11201328 22402656