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22303100144 = 24131924123417
BaseRepresentation
bin10100110001010111…
…100100110011110000
32010120100012212201002
4110301113210303300
5331134043201034
614125040501132
71416456136403
oct246127446360
963510185632
1022303100144
119505578276
1243a531a7a8
132145896ba0
14111811dd3a
158a8050e7e
hex5315e4cf0

22303100144 has 80 divisors (see below), whose sum is σ = 49190914080. Its totient is φ = 9711083520.

The previous prime is 22303100137. The next prime is 22303100153. The reversal of 22303100144 is 44100130322.

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 15 ways as a sum of consecutive naturals, for example, 940724 + ... + 964140.

It is an arithmetic number, because the mean of its divisors is an integer number (614886426).

Almost surely, 222303100144 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 22303100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24595457040).

22303100144 is an abundant number, since it is smaller than the sum of its proper divisors (26887813936).

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

22303100144 is a wasteful number, since it uses less digits than its factorization.

22303100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23698 (or 23692 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22303100144 its reverse (44100130322), we get a palindrome (66403230466).

The spelling of 22303100144 in words is "twenty-two billion, three hundred three million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 241 247 304 482 494 964 988 1928 1976 3133 3856 3952 4579 6266 9158 12532 18316 23417 25064 36632 46834 50128 59527 73264 93668 119054 187336 238108 304421 374672 444923 476216 608842 889846 952432 1217684 1779692 2435368 3559384 4870736 5643497 5783999 7118768 11286994 11567998 22573988 23135996 45147976 46271992 73365461 90295952 92543984 107226443 146730922 214452886 293461844 428905772 586923688 857811544 1173847376 1393943759 1715623088 2787887518 5575775036 11151550072 22303100144