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22124213232 = 2431185349123
BaseRepresentation
bin10100100110101101…
…001011001111110000
32010002212121110222220
4110212231023033300
5330302244310412
614055210401040
71412154465252
oct244655131760
963085543886
1022124213232
1194235a5950
124355430180
1321177c2844
1410dc475cd2
158974b768c
hex526b4b3f0

22124213232 has 80 divisors (see below), whose sum is σ = 62424421248. Its totient is φ = 6696311040.

The previous prime is 22124213231. The next prime is 22124213239. The reversal of 22124213232 is 23231242122.

It is a super-2 number, since 2×221242132322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22124213231) 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, 425823 + ... + 474945.

Almost surely, 222124213232 is an apocalyptic number.

22124213232 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 22124213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31212210624).

22124213232 is an abundant number, since it is smaller than the sum of its proper divisors (40300208016).

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

22124213232 is a wasteful number, since it uses less digits than its factorization.

22124213232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49998 (or 49992 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

Adding to 22124213232 its reverse (23231242122), we get a palindrome (45355455354).

The spelling of 22124213232 in words is "twenty-two billion, one hundred twenty-four million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 853 1706 2559 3412 5118 6824 9383 10236 13648 18766 20472 28149 37532 40944 49123 56298 75064 98246 112596 147369 150128 196492 225192 294738 392984 450384 540353 589476 785968 1080706 1178952 1621059 2161412 2357904 3242118 4322824 6484236 8645648 12968472 25936944 41901919 83803838 125705757 167607676 251411514 335215352 460921109 502823028 670430704 921842218 1005646056 1382763327 1843684436 2011292112 2765526654 3687368872 5531053308 7374737744 11062106616 22124213232