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100222040 = 23523412657
BaseRepresentation
bin1011111100101…
…00010001011000
320222120210210102
411332110101120
5201124101130
613540034532
72324605352
oct576242130
9228523712
10100222040
1151633336
1229692a48
13179c08a9
14d44c0d2
158bea645
hex5f94458

100222040 has 64 divisors (see below), whose sum is σ = 241133760. Its totient is φ = 37396480.

The previous prime is 100222027. The next prime is 100222091. The reversal of 100222040 is 40222001.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 36392 + ... + 39048.

It is an arithmetic number, because the mean of its divisors is an integer number (3767715).

Almost surely, 2100222040 is an apocalyptic number.

100222040 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 100222040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120566880).

100222040 is an abundant number, since it is smaller than the sum of its proper divisors (140911720).

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

100222040 is a wasteful number, since it uses less digits than its factorization.

100222040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 100222040 is about 10011.0958441122. The cubic root of 100222040 is about 464.5021688710.

Adding to 100222040 its reverse (40222001), we get a palindrome (140444041).

The spelling of 100222040 in words is "one hundred million, two hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 41 46 82 92 115 164 184 205 230 328 410 460 820 920 943 1640 1886 2657 3772 4715 5314 7544 9430 10628 13285 18860 21256 26570 37720 53140 61111 106280 108937 122222 217874 244444 305555 435748 488888 544685 611110 871496 1089370 1222220 2178740 2444440 2505551 4357480 5011102 10022204 12527755 20044408 25055510 50111020 100222040