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1042222300 = 225272951341
BaseRepresentation
bin111110000111110…
…000110011011100
32200122010101012221
4332013300303130
54113302103200
6251230235124
734553512660
oct7607606334
92618111187
101042222300
11495342049
12251055aa4
13137c013b2
149c5bc8a0
156177191a
hex3e1f0cdc

1042222300 has 72 divisors (see below), whose sum is σ = 2673891360. Its totient is φ = 345004800.

The previous prime is 1042222297. The next prime is 1042222331. The reversal of 1042222300 is 32222401.

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 23 ways as a sum of consecutive naturals, for example, 5371 + ... + 45970.

It is an arithmetic number, because the mean of its divisors is an integer number (37137380).

Almost surely, 21042222300 is an apocalyptic number.

1042222300 is a gapful number since it is divisible by the number (10) 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 1042222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336945680).

1042222300 is an abundant number, since it is smaller than the sum of its proper divisors (1631669060).

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

1042222300 is a wasteful number, since it uses less digits than its factorization.

1042222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51391 (or 51384 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1042222300 is about 32283.4679054156. The cubic root of 1042222300 is about 1013.8805391805.

Adding to 1042222300 its reverse (32222401), we get a palindrome (1074444701).

The spelling of 1042222300 in words is "one billion, forty-two million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 700 725 812 1015 1450 2030 2900 4060 5075 10150 20300 51341 102682 205364 256705 359387 513410 718774 1026820 1283525 1437548 1488889 1796935 2567050 2977778 3593870 5134100 5955556 7187740 7444445 8984675 10422223 14888890 17969350 20844446 29777780 35938700 37222225 41688892 52111115 74444450 104222230 148888900 208444460 260555575 521111150 1042222300