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88228448 = 2571161587
BaseRepresentation
bin1010100001001…
…00001001100000
320011000110200022
411100210021200
5140041302243
612431013012
72120633540
oct520441140
9204013608
1088228448
1145891380
122566a168
13153817a9
14ba09320
157b2bb68
hex5424260

88228448 has 96 divisors (see below), whose sum is σ = 220485888. Its totient is φ = 33753600.

The previous prime is 88228429. The next prime is 88228451. The reversal of 88228448 is 84482288.

It is a Cunningham number, because it is equal to 93932-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

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

It is a junction number, because it is equal to n+sod(n) for n = 88228399 and 88228408.

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, 150011 + ... + 150597.

It is an arithmetic number, because the mean of its divisors is an integer number (2296728).

Almost surely, 288228448 is an apocalyptic number.

88228448 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 88228448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110242944).

88228448 is an abundant number, since it is smaller than the sum of its proper divisors (132257440).

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

88228448 is a wasteful number, since it uses less digits than its factorization.

88228448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 668 counting only the distinct ones).

The product of its digits is 262144, while the sum is 44.

The square root of 88228448 is about 9392.9999467689. Note that the first 4 decimals coincide. The cubic root of 88228448 is about 445.1805823503.

The spelling of 88228448 in words is "eighty-eight million, two hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 61 77 88 112 122 154 176 224 244 308 352 427 488 587 616 671 854 976 1174 1232 1342 1708 1952 2348 2464 2684 3416 4109 4696 4697 5368 6457 6832 8218 9392 9394 10736 12914 13664 16436 18784 18788 21472 25828 32872 35807 37576 45199 51656 65744 71614 75152 90398 103312 131488 143228 150304 180796 206624 250649 286456 361592 393877 501298 572912 723184 787754 1002596 1145824 1446368 1575508 2005192 2757139 3151016 4010384 5514278 6302032 8020768 11028556 12604064 22057112 44114224 88228448