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80220224 = 267241743
BaseRepresentation
bin1001100100000…
…01000001000000
312120221121110102
410302001001000
5131014021344
611543221532
71662601130
oct462010100
9176847412
1080220224
1141311707
1222a478a8
13138096b6
14a922ac0
157098e4e
hex4c81040

80220224 has 56 divisors (see below), whose sum is σ = 182928768. Its totient is φ = 34191360.

The previous prime is 80220221. The next prime is 80220227. The reversal of 80220224 is 42202208.

It is an interprime number because it is at equal distance from previous prime (80220221) and next prime (80220227).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×802202242 = 12870568677220352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 80220196 and 80220205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80220221) 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, 107597 + ... + 108339.

Almost surely, 280220224 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 80220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91464384).

80220224 is an abundant number, since it is smaller than the sum of its proper divisors (102708544).

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

80220224 is a wasteful number, since it uses less digits than its factorization.

80220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 80220224 is about 8956.5743451389. The cubic root of 80220224 is about 431.2819576121.

The spelling of 80220224 in words is "eighty million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 241 448 482 743 964 1486 1687 1928 2972 3374 3856 5201 5944 6748 7712 10402 11888 13496 15424 20804 23776 26992 41608 47552 53984 83216 107968 166432 179063 332864 358126 716252 1253441 1432504 2506882 2865008 5013764 5730016 10027528 11460032 20055056 40110112 80220224