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228505955040 = 253351131181857
BaseRepresentation
bin1101010011010000000…
…1000010101011100000
3210211210222021020111000
43110310001002223200
512220440011030130
6252550231352000
722336406366436
oct3246401025340
9724728236430
10228505955040
11889aa722130
1238352222600
1318717cc86ac
14b0b9d36d56
155e25d2d260
hex3534042ae0

228505955040 has 768 divisors, whose sum is σ = 906654228480. Its totient is φ = 53250048000.

The previous prime is 228505955033. The next prime is 228505955053. The reversal of 228505955040 is 40559505822.

228505955040 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 0 + 59 + 550 + 40 = 666.

228505955040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 266634292 + ... + 266635148.

It is an arithmetic number, because the mean of its divisors is an integer number (1180539360).

Almost surely, 2228505955040 is an apocalyptic number.

228505955040 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 228505955040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453327114240).

228505955040 is an abundant number, since it is smaller than the sum of its proper divisors (678148273440).

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

228505955040 is a wasteful number, since it uses less digits than its factorization.

228505955040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 228505955040 in words is "two hundred twenty-eight billion, five hundred five million, nine hundred fifty-five thousand, forty".