Search a number
-
+
22155672 = 23371119631
BaseRepresentation
bin101010010000…
…1000110011000
31112200121212110
41110201012120
521132440142
62110512320
7356214540
oct124410630
945617773
1022155672
1111562980
1275056a0
134789686
142d2a320
151e2999c
hex1521198

22155672 has 128 divisors (see below), whose sum is σ = 72806400. Its totient is φ = 5443200.

The previous prime is 22155671. The next prime is 22155677. The reversal of 22155672 is 27655122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22155671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34797 + ... + 35427.

It is an arithmetic number, because the mean of its divisors is an integer number (568800).

Almost surely, 222155672 is an apocalyptic number.

22155672 is a gapful number since it is divisible by the number (22) 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 22155672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36403200).

22155672 is an abundant number, since it is smaller than the sum of its proper divisors (50650728).

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

22155672 is a wasteful number, since it uses less digits than its factorization.

22155672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 673 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 22155672 is about 4706.9811981779. The cubic root of 22155672 is about 280.8632879807.

It can be divided in two parts, 2215 and 5672, that added together give a palindrome (7887).

The spelling of 22155672 in words is "twenty-two million, one hundred fifty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 19 21 22 24 28 33 38 42 44 56 57 66 76 77 84 88 114 132 133 152 154 168 209 228 231 264 266 308 399 418 456 462 532 616 627 631 798 836 924 1064 1254 1262 1463 1596 1672 1848 1893 2508 2524 2926 3192 3786 4389 4417 5016 5048 5852 6941 7572 8778 8834 11704 11989 13251 13882 15144 17556 17668 20823 23978 26502 27764 35112 35336 35967 41646 47956 48587 53004 55528 71934 83292 83923 95912 97174 106008 131879 143868 145761 166584 167846 194348 251769 263758 287736 291522 335692 388696 395637 503538 527516 583044 671384 791274 923153 1007076 1055032 1166088 1582548 1846306 2014152 2769459 3165096 3692612 5538918 7385224 11077836 22155672