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21235353400 = 23523122315359
BaseRepresentation
bin10011110001101110…
…011100011100111000
32000210221001201112101
4103301232130130320
5321442222302100
613431055153144
71351142345212
oct236156343470
960727051471
1021235353400
119007892348
1241478157b4
1320055c9991
1410563b95b2
1584443b86a
hex4f1b9c738

21235353400 has 96 divisors (see below), whose sum is σ = 51196723200. Its totient is φ = 8182742400.

The previous prime is 21235353383. The next prime is 21235353407. The reversal of 21235353400 is 435353212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21235353407) 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 23 ways as a sum of consecutive naturals, for example, 1374921 + ... + 1390279.

It is an arithmetic number, because the mean of its divisors is an integer number (533299200).

Almost surely, 221235353400 is an apocalyptic number.

21235353400 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 21235353400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25598361600).

21235353400 is an abundant number, since it is smaller than the sum of its proper divisors (29961369800).

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

21235353400 is a wasteful number, since it uses less digits than its factorization.

21235353400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15629 (or 15620 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The spelling of 21235353400 in words is "twenty-one billion, two hundred thirty-five million, three hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 223 248 310 446 620 775 892 1115 1240 1550 1784 2230 3100 4460 5575 6200 6913 8920 11150 13826 15359 22300 27652 30718 34565 44600 55304 61436 69130 76795 122872 138260 153590 172825 276520 307180 345650 383975 476129 614360 691300 767950 952258 1382600 1535900 1904516 2380645 3071800 3425057 3809032 4761290 6850114 9522580 11903225 13700228 17125285 19045160 23806450 27400456 34250570 47612900 68501140 85626425 95225800 106176767 137002280 171252850 212353534 342505700 424707068 530883835 685011400 849414136 1061767670 2123535340 2654419175 4247070680 5308838350 10617676700 21235353400