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228501588240 = 243254719513461
BaseRepresentation
bin1101010011001111000…
…0011000100100010000
3210211210200001101100200
43110303300120210100
512220432401310430
6252545554015200
722336324311312
oct3246360304420
9724720041320
10228501588240
11889a820a302
1238350877500
1318717129ba3
14b0b951b7b2
155e25769460
hex3533c18910

228501588240 has 240 divisors, whose sum is σ = 784340084736. Its totient is φ = 59589504000.

The previous prime is 228501588209. The next prime is 228501588241. The reversal of 228501588240 is 42885105822.

228501588240 is a `hidden beast` number, since 2 + 28 + 5 + 0 + 1 + 588 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (228501588241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66020110 + ... + 66023570.

Almost surely, 2228501588240 is an apocalyptic number.

228501588240 is a gapful number since it is divisible by the number (20) 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 228501588240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392170042368).

228501588240 is an abundant number, since it is smaller than the sum of its proper divisors (555838496496).

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

228501588240 is a wasteful number, since it uses less digits than its factorization.

228501588240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5478 (or 5469 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 228501588240 in words is "two hundred twenty-eight billion, five hundred one million, five hundred eighty-eight thousand, two hundred forty".