Search a number
-
+
102022248 = 23319229977
BaseRepresentation
bin1100001010010…
…11110001101000
321002222021012210
412011023301220
5202104202443
614042405120
72346113646
oct605136150
9232867183
10102022248
1152652909
122a2007a0
13181a10c3
14d79a196
158e53c33
hex614bc68

102022248 has 64 divisors (see below), whose sum is σ = 269928000. Its totient is φ = 32044032.

The previous prime is 102022241. The next prime is 102022301. The reversal of 102022248 is 842220201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102022241) 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, 103936 + ... + 104912.

It is an arithmetic number, because the mean of its divisors is an integer number (4217625).

Almost surely, 2102022248 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 102022248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134964000).

102022248 is an abundant number, since it is smaller than the sum of its proper divisors (167905752).

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

102022248 is a wasteful number, since it uses less digits than its factorization.

102022248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 102022248 is about 10100.6063184346. The cubic root of 102022248 is about 467.2668409442.

Adding to 102022248 its reverse (842220201), we get a palindrome (944242449).

The spelling of 102022248 in words is "one hundred two million, twenty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 229 456 458 687 916 977 1374 1832 1954 2748 2931 3908 4351 5496 5862 7816 8702 11724 13053 17404 18563 23448 26106 34808 37126 52212 55689 74252 104424 111378 148504 222756 223733 445512 447466 671199 894932 1342398 1789864 2684796 4250927 5369592 8501854 12752781 17003708 25505562 34007416 51011124 102022248