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2042226624 = 26313997603
BaseRepresentation
bin111100110111001…
…1110011111000000
312021022210212021010
41321232132133000
513140302222444
6534352000520
7101415432324
oct17156363700
95238725233
102042226624
119588690a9
1248bb30140
13267140529
1415532b984
15be4542b9
hex79b9e7c0

2042226624 has 56 divisors (see below), whose sum is σ = 5407964800. Its totient is φ = 680166144.

The previous prime is 2042226607. The next prime is 2042226653. The reversal of 2042226624 is 4266222402.

It is a junction number, because it is equal to n+sod(n) for n = 2042226591 and 2042226600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264807 + ... + 272409.

It is an arithmetic number, because the mean of its divisors is an integer number (96570800).

Almost surely, 22042226624 is an apocalyptic number.

2042226624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2042226624 is an abundant number, since it is smaller than the sum of its proper divisors (3365738176).

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

2042226624 is a wasteful number, since it uses less digits than its factorization.

2042226624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9017 (or 9007 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 2042226624 is about 45191.0015821734. The cubic root of 2042226624 is about 1268.7264029714.

The spelling of 2042226624 in words is "two billion, forty-two million, two hundred twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1399 2798 4197 5596 7603 8394 11192 15206 16788 22384 22809 30412 33576 44768 45618 60824 67152 89536 91236 121648 134304 182472 243296 268608 364944 486592 729888 1459776 10636597 21273194 31909791 42546388 63819582 85092776 127639164 170185552 255278328 340371104 510556656 680742208 1021113312 2042226624