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228588013152 = 25324051195929
BaseRepresentation
bin1101010011100011101…
…0000100011001100000
3210212000200200020001100
43110320322010121200
512221122012410102
6253002322234400
722341424024062
oct3247072043140
9725020606040
10228588013152
1188a41a79654
12383757b5a00
131872bcc97a5
14b0c6bb7732
155e2d13ba1c
hex3538e84660

228588013152 has 72 divisors (see below), whose sum is σ = 650210946840. Its totient is φ = 76176806400.

The previous prime is 228588013081. The next prime is 228588013163. The reversal of 228588013152 is 251310885822.

228588013152 is a `hidden beast` number, since 2 + 2 + 8 + 588 + 0 + 13 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 228588013098 and 228588013107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1068724 + ... + 1264652.

It is an arithmetic number, because the mean of its divisors is an integer number (9030707595).

Almost surely, 2228588013152 is an apocalyptic number.

It is an amenable number.

228588013152 is an abundant number, since it is smaller than the sum of its proper divisors (421622933688).

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

228588013152 is a wasteful number, since it uses less digits than its factorization.

228588013152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199996 (or 199985 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

Adding to 228588013152 its reverse (251310885822), we get a palindrome (479898898974).

The spelling of 228588013152 in words is "two hundred twenty-eight billion, five hundred eighty-eight million, thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4051 8102 12153 16204 24306 32408 36459 48612 64816 72918 97224 129632 145836 194448 195929 291672 388896 391858 583344 587787 783716 1166688 1175574 1567432 1763361 2351148 3134864 3526722 4702296 6269728 7053444 9404592 14106888 18809184 28213776 56427552 793708379 1587416758 2381125137 3174833516 4762250274 6349667032 7143375411 9524500548 12699334064 14286750822 19049001096 25398668128 28573501644 38098002192 57147003288 76196004384 114294006576 228588013152