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422233030016 = 277787598783
BaseRepresentation
bin1100010010011110000…
…11001011110110000000
31111100212010221022112222
412021033003023312000
523404213123430031
6521545435110212
742335220352340
oct6111703136600
91440763838488
10422233030016
111530825a0976
12699b8ba2368
1330a7c8407c5
1416616c82d20
15aeb3707e7b
hex624f0cbd80

422233030016 has 64 divisors (see below), whose sum is σ = 962557255680. Its totient is φ = 180726778368.

The previous prime is 422233029989. The next prime is 422233030033. The reversal of 422233030016 is 610030332224.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 405761 + ... + 1004543.

It is an arithmetic number, because the mean of its divisors is an integer number (15039957120).

Almost surely, 2422233030016 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 422233030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481278627840).

422233030016 is an abundant number, since it is smaller than the sum of its proper divisors (540324225664).

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

422233030016 is an equidigital number, since it uses as much as digits as its factorization.

422233030016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599591 (or 599579 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The spelling of 422233030016 in words is "four hundred twenty-two billion, two hundred thirty-three million, thirty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 787 896 1574 3148 5509 6296 11018 12592 22036 25184 44072 50368 88144 100736 176288 352576 598783 705152 1197566 2395132 4191481 4790264 8382962 9580528 16765924 19161056 33531848 38322112 67063696 76644224 134127392 268254784 471242221 536509568 942484442 1884968884 3298695547 3769937768 6597391094 7539875536 13194782188 15079751072 26389564376 30159502144 52779128752 60319004288 105558257504 211116515008 422233030016