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22321212312 = 2337197198491
BaseRepresentation
bin10100110010011100…
…101010101110011000
32010121121022001221010
4110302130222232120
5331203212243222
614130525013520
71420066113510
oct246234525630
963547261833
1022321212312
119514819203
1243ab3b42a0
132149568c49
14111a6b6840
158a992c80c
hex53272ab98

22321212312 has 128 divisors (see below), whose sum is σ = 68077670400. Its totient is φ = 5956675200.

The previous prime is 22321212301. The next prime is 22321212349. The reversal of 22321212312 is 21321212322.

It is a super-3 number, since 3×223212123123 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177387 + ... + 275877.

It is an arithmetic number, because the mean of its divisors is an integer number (531856800).

Almost surely, 222321212312 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 22321212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34038835200).

22321212312 is an abundant number, since it is smaller than the sum of its proper divisors (45756458088).

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

22321212312 is a wasteful number, since it uses less digits than its factorization.

22321212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98597 (or 98593 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

Adding to 22321212312 its reverse (21321212322), we get a palindrome (43642424634).

The spelling of 22321212312 in words is "twenty-two billion, three hundred twenty-one million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 71 76 84 114 133 142 152 168 213 228 266 284 399 426 456 497 532 568 798 852 994 1064 1349 1491 1596 1704 1988 2698 2982 3192 3976 4047 5396 5964 8094 9443 10792 11928 16188 18886 28329 32376 37772 56658 75544 98491 113316 196982 226632 295473 393964 590946 689437 787928 1181892 1378874 1871329 2068311 2363784 2757748 3742658 4136622 5515496 5613987 6992861 7485316 8273244 11227974 13099303 13985722 14970632 16546488 20978583 22455948 26198606 27971444 39297909 41957166 44911896 48950027 52397212 55942888 78595818 83914332 97900054 104794424 132864359 146850081 157191636 167828664 195800108 265728718 293700162 314383272 391600216 398593077 531457436 587400324 797186154 930050513 1062914872 1174800648 1594372308 1860101026 2790151539 3188744616 3720202052 5580303078 7440404104 11160606156 22321212312