Search a number
-
+
88221848 = 231113671151
BaseRepresentation
bin1010100001000…
…10100010011000
320011000010121212
411100202202120
5140041044343
612430522252
72120605361
oct520424230
9204003555
1088221848
1145887420
1225666388
131537b7a0
14ba06b68
157b29c18
hex5422898

88221848 has 64 divisors (see below), whose sum is σ = 197406720. Its totient is φ = 36432000.

The previous prime is 88221827. The next prime is 88221871. The reversal of 88221848 is 84812288.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76073 + ... + 77223.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 288221848 is an apocalyptic number.

88221848 is a gapful number since it is divisible by the number (88) 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 88221848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98703360).

88221848 is an abundant number, since it is smaller than the sum of its proper divisors (109184872).

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

88221848 is a wasteful number, since it uses less digits than its factorization.

88221848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1244 counting only the distinct ones).

The product of its digits is 65536, while the sum is 41.

The square root of 88221848 is about 9392.6486147412. The cubic root of 88221848 is about 445.1694813764.

The spelling of 88221848 in words is "eighty-eight million, two hundred twenty-one thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 67 88 104 134 143 268 286 536 572 737 871 1144 1151 1474 1742 2302 2948 3484 4604 5896 6968 9208 9581 12661 14963 19162 25322 29926 38324 50644 59852 76648 77117 101288 119704 154234 164593 308468 329186 616936 658372 848287 1002521 1316744 1696574 2005042 3393148 4010084 6786296 8020168 11027731 22055462 44110924 88221848