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22013465700 = 22352307239017
BaseRepresentation
bin10100100000000110…
…101101010001100100
32002211011012220221110
4110200012231101210
5330040421400300
614040212545020
71406341241202
oct244006552144
962734186843
1022013465700
119377033666
124324322170
1320ca888165
1410cb888072
1588c8dd550
hex5201ad464

22013465700 has 72 divisors (see below), whose sum is σ = 63900028192. Its totient is φ = 5851111680.

The previous prime is 22013465693. The next prime is 22013465711. The reversal of 22013465700 is 756431022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27409 + ... + 211608.

Almost surely, 222013465700 is an apocalyptic number.

22013465700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22013465700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31950014096).

22013465700 is an abundant number, since it is smaller than the sum of its proper divisors (41886562492).

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

22013465700 is a wasteful number, since it uses less digits than its factorization.

22013465700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239341 (or 239334 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 22013465700 its reverse (756431022), we get a palindrome (22769896722).

The spelling of 22013465700 in words is "twenty-two billion, thirteen million, four hundred sixty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 307 614 921 1228 1535 1842 3070 3684 4605 6140 7675 9210 15350 18420 23025 30700 46050 92100 239017 478034 717051 956068 1195085 1434102 2390170 2868204 3585255 4780340 5975425 7170510 11950850 14341020 17926275 23901700 35852550 71705100 73378219 146756438 220134657 293512876 366891095 440269314 733782190 880538628 1100673285 1467564380 1834455475 2201346570 3668910950 4402693140 5503366425 7337821900 11006732850 22013465700