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84228880 = 2451761933
BaseRepresentation
bin1010000010100…
…11101100010000
312212111021022011
411001103230100
5133030311010
612205152304
72041635151
oct501235420
9185437264
1084228880
11435aa44a
122425b694
13145b1198
14b287928
1575dba8a
hex5053b10

84228880 has 40 divisors (see below), whose sum is σ = 207355032. Its totient is φ = 31709184.

The previous prime is 84228839. The next prime is 84228889. The reversal of 84228880 is 8882248.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15272464 + 68956416 = 3908^2 + 8304^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (84228889) 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, 29607 + ... + 32326.

Almost surely, 284228880 is an apocalyptic number.

84228880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84228880 is an abundant number, since it is smaller than the sum of its proper divisors (123126152).

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

84228880 is a wasteful number, since it uses less digits than its factorization.

84228880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61963 (or 61957 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 84228880 is about 9177.6293235236. The cubic root of 84228880 is about 438.3493248209.

The spelling of 84228880 in words is "eighty-four million, two hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 61933 123866 247732 309665 495464 619330 990928 1052861 1238660 2105722 2477320 4211444 4954640 5264305 8422888 10528610 16845776 21057220 42114440 84228880