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2322214213004 = 227323211348769
BaseRepresentation
bin100001110010101110110…
…000001101010110001100
322020000001002201211011222
4201302232300031112030
5301021343314304004
64534451021502512
7326526430061000
oct41625660152614
98200032654158
102322214213004
11815933424104
12316088a11a38
1313aca37075ca
1480577db4700
15406159d07be
hex21caec0d58c

2322214213004 has 96 divisors (see below), whose sum is σ = 4968716928000. Its totient is φ = 947449198080.

The previous prime is 2322214213001. The next prime is 2322214213043. The reversal of 2322214213004 is 4003124122232.

It is not an unprimeable number, because it can be changed into a prime (2322214213001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6483932 + ... + 6832700.

It is an arithmetic number, because the mean of its divisors is an integer number (51757468000).

Almost surely, 22322214213004 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 2322214213004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484358464000).

2322214213004 is an abundant number, since it is smaller than the sum of its proper divisors (2646502714996).

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

2322214213004 is a wasteful number, since it uses less digits than its factorization.

2322214213004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349028 (or 349012 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2322214213004 its reverse (4003124122232), we get a palindrome (6325338335236).

The spelling of 2322214213004 in words is "two trillion, three hundred twenty-two billion, two hundred fourteen million, two hundred thirteen thousand, four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 211 322 343 422 644 686 844 1127 1372 1477 2254 2954 4508 4853 5908 7889 9706 10339 15778 19412 20678 31556 33971 41356 67942 72373 135884 144746 237797 289492 348769 475594 697538 951188 1395076 1664579 2441383 3329158 4882766 6658316 8021687 9765532 16043374 17089681 32086748 34179362 56151809 68358724 73590259 112303618 119627767 147180518 224607236 239255534 294361036 393062663 478511068 515131813 786125326 1030263626 1572250652 1692575957 2060527252 2751438641 3385151914 3605922691 5502877282 6770303828 7211845382 11005754564 11848031699 14423690764 23696063398 25241458837 47392126796 50482917674 82936221893 100965835348 165872443786 331744887572 580553553251 1161107106502 2322214213004