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23001620334 = 23711311160087
BaseRepresentation
bin10101011011000000…
…001101111101101110
32012101000121101021020
4111123000031331232
5334101403322314
614322232315010
71443000355410
oct253300157556
965330541236
1023001620334
1198338a6890
12455b242a66
132227508844
141182bd09b0
158e952eda9
hex55b00df6e

23001620334 has 64 divisors (see below), whose sum is σ = 57539469312. Its totient is φ = 5955199200.

The previous prime is 23001620333. The next prime is 23001620357. The reversal of 23001620334 is 43302610032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23001620333) 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, 63639 + ... + 223725.

It is an arithmetic number, because the mean of its divisors is an integer number (899054208).

Almost surely, 223001620334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23001620334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28769734656).

23001620334 is an abundant number, since it is smaller than the sum of its proper divisors (34537848978).

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

23001620334 is a wasteful number, since it uses less digits than its factorization.

23001620334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160421.

The product of its (nonzero) digits is 2592, while the sum is 24.

The spelling of 23001620334 in words is "twenty-three billion, one million, six hundred twenty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 311 462 622 933 1866 2177 3421 4354 6531 6842 10263 13062 20526 23947 47894 71841 143682 160087 320174 480261 960522 1120609 1760957 2241218 3361827 3521914 5282871 6723654 10565742 12326699 24653398 36980097 49787057 73960194 99574114 149361171 298722342 348509399 547657627 697018798 1045528197 1095315254 1642972881 2091056394 3285945762 3833603389 7667206778 11500810167 23001620334