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20322816 = 293101131
BaseRepresentation
bin100110110000…
…1101000000000
31102020111122220
41031201220000
520200312231
62003331040
7334512123
oct115415000
942214586
1020322816
1110520918
126980a80
134297347
1429b03ba
151bb6896
hex1361a00

20322816 has 80 divisors (see below), whose sum is σ = 55094688. Its totient is φ = 6656000.

The previous prime is 20322793. The next prime is 20322817. The reversal of 20322816 is 61822302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20322817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155071 + ... + 155201.

Almost surely, 220322816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20322816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27547344).

20322816 is an abundant number, since it is smaller than the sum of its proper divisors (34771872).

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

20322816 is a wasteful number, since it uses less digits than its factorization.

20322816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 20322816 is about 4508.0834065044. The cubic root of 20322816 is about 272.8944029336.

The spelling of 20322816 in words is "twenty million, three hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 131 192 202 256 262 303 384 393 404 512 524 606 768 786 808 1048 1212 1536 1572 1616 2096 2424 3144 3232 4192 4848 6288 6464 8384 9696 12576 12928 13231 16768 19392 25152 25856 26462 33536 38784 39693 50304 51712 52924 67072 77568 79386 100608 105848 155136 158772 201216 211696 317544 423392 635088 846784 1270176 1693568 2540352 3387136 5080704 6774272 10161408 20322816