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36180228 = 22372371663
BaseRepresentation
bin1000101000000…
…1000100000100
32112002010221110
42022001010010
533230231403
63331245020
7616345500
oct212010404
975063843
1036180228
1119471817
1210149770
13765a026
144b3b300
15329a103
hex2281104

36180228 has 72 divisors (see below), whose sum is σ = 100918272. Its totient is φ = 10051776.

The previous prime is 36180211. The next prime is 36180239. The reversal of 36180228 is 82208163.

It is a junction number, because it is equal to n+sod(n) for n = 36180195 and 36180204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20925 + ... + 22587.

Almost surely, 236180228 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 36180228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50459136).

36180228 is an abundant number, since it is smaller than the sum of its proper divisors (64738044).

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

36180228 is a wasteful number, since it uses less digits than its factorization.

36180228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 36180228 is about 6015.0002493766. Note that the first 3 decimals coincide. The cubic root of 36180228 is about 330.7428261931.

The spelling of 36180228 in words is "thirty-six million, one hundred eighty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 259 294 444 518 588 777 1036 1554 1663 1813 3108 3326 3626 4989 5439 6652 7252 9978 10878 11641 19956 21756 23282 34923 46564 61531 69846 81487 123062 139692 162974 184593 244461 246124 325948 369186 430717 488922 738372 861434 977844 1292151 1722868 2584302 3015019 5168604 6030038 9045057 12060076 18090114 36180228