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10284029220 = 2235592905093
BaseRepresentation
bin10011001001111100…
…11101010100100100
3222112201012210222010
421210332131110210
5132030202413340
64420250234220
7512563543323
oct114476352444
928481183863
1010284029220
1143a8080403
121bb0125970
13c7b7b5aba
146d7b7a0ba
15402cb4b80
hex264f9d524

10284029220 has 48 divisors (see below), whose sum is σ = 29283347520. Its totient is φ = 2695925376.

The previous prime is 10284029219. The next prime is 10284029263. The reversal of 10284029220 is 2292048201.

10284029220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102840292202 (a number of 21 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1449007 + ... + 1456086.

It is an arithmetic number, because the mean of its divisors is an integer number (610069740).

Almost surely, 210284029220 is an apocalyptic number.

10284029220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10284029220 is an abundant number, since it is smaller than the sum of its proper divisors (18999318300).

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

10284029220 is a wasteful number, since it uses less digits than its factorization.

10284029220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905164 (or 2905162 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 10284029220 in words is "ten billion, two hundred eighty-four million, twenty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 2905093 5810186 8715279 11620372 14525465 17430558 29050930 34861116 43576395 58101860 87152790 171400487 174305580 342800974 514201461 685601948 857002435 1028402922 1714004870 2056805844 2571007305 3428009740 5142014610 10284029220