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20225832 = 23311233331
BaseRepresentation
bin100110100100…
…1111100101000
31102001120121220
41031021330220
520134211312
62001302040
7333626304
oct115117450
942046556
1020225832
1110464a70
126934920
134262163
142986d04
151b97c8c
hex1349f28

20225832 has 64 divisors (see below), whose sum is σ = 57576960. Its totient is φ = 5860800.

The previous prime is 20225819. The next prime is 20225837. The reversal of 20225832 is 23852202.

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

It is not an unprimeable number, because it can be changed into a prime (20225837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4407 + ... + 7737.

It is an arithmetic number, because the mean of its divisors is an integer number (899640).

Almost surely, 220225832 is an apocalyptic number.

20225832 is a gapful number since it is divisible by the number (22) 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 20225832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28788480).

20225832 is an abundant number, since it is smaller than the sum of its proper divisors (37351128).

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

20225832 is a wasteful number, since it uses less digits than its factorization.

20225832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 20225832 is about 4497.3138649643. The cubic root of 20225832 is about 272.4596107690.

The spelling of 20225832 in words is "twenty million, two hundred twenty-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 3331 6072 6662 9993 13324 19986 26648 36641 39972 73282 76613 79944 109923 146564 153226 219846 229839 293128 306452 439692 459678 612904 842743 879384 919356 1685486 1838712 2528229 3370972 5056458 6741944 10112916 20225832