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228212256640 = 2752912295919
BaseRepresentation
bin1101010010001010000…
…0101010111110000000
3210211001111121211000111
43110202200222332000
512214334314203030
6252501140401104
722326212114044
oct3244240527600
9724044554014
10228212256640
1188869962185
123828b9a6194
131869c1c5c64
14b08cd24024
155e0a16662a
hex352282af80

228212256640 has 64 divisors (see below), whose sum is σ = 564382728000. Its totient is φ = 88137140224.

The previous prime is 228212256637. The next prime is 228212256661. The reversal of 228212256640 is 46652212822.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 228212256593 and 228212256602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6129400 + ... + 6166519.

It is an arithmetic number, because the mean of its divisors is an integer number (8818480125).

Almost surely, 2228212256640 is an apocalyptic number.

228212256640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228212256640 is an abundant number, since it is smaller than the sum of its proper divisors (336170471360).

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

228212256640 is a wasteful number, since it uses less digits than its factorization.

228212256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12295967 (or 12295955 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 228212256640 in words is "two hundred twenty-eight billion, two hundred twelve million, two hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1856 2320 3712 4640 9280 18560 12295919 24591838 49183676 61479595 98367352 122959190 196734704 245918380 356581651 393469408 491836760 713163302 786938816 983673520 1426326604 1573877632 1782908255 1967347040 2852653208 3565816510 3934694080 5705306416 7131633020 7869388160 11410612832 14263266040 22821225664 28526532080 45642451328 57053064160 114106128320 228212256640