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225700225002 = 232712730745943
BaseRepresentation
bin1101001000110011001…
…0000001111111101010
3210120120102210101102200
43102030302001333222
512144213224200002
6251404003041030
722210030154460
oct3221462017752
9716512711380
10225700225002
118779a99067a
12378aa670176
131838b9432c5
14acd1460830
155d0e860b1c
hex348cc81fea

225700225002 has 96 divisors (see below), whose sum is σ = 565124431872. Its totient is φ = 63768231072.

The previous prime is 225700224961. The next prime is 225700225021. The reversal of 225700225002 is 200522007522.

225700225002 is a `hidden beast` number, since 22 + 570 + 0 + 22 + 50 + 0 + 2 = 666.

225700225002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4889643 + ... + 4935585.

It is an arithmetic number, because the mean of its divisors is an integer number (5886712832).

Almost surely, 2225700225002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225700225002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282562215936).

225700225002 is an abundant number, since it is smaller than the sum of its proper divisors (339424206870).

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

225700225002 is a wasteful number, since it uses less digits than its factorization.

225700225002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46392 (or 46389 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The spelling of 225700225002 in words is "two hundred twenty-five billion, seven hundred million, two hundred twenty-five thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 127 254 307 381 614 762 889 921 1143 1778 1842 2149 2286 2667 2763 4298 5334 5526 6447 8001 12894 16002 19341 38682 38989 45943 77978 91886 116967 137829 233934 272923 275658 321601 350901 413487 545846 643202 701802 818769 826974 964803 1637538 1929606 2456307 2894409 4912614 5788818 5834761 11669522 14104501 17504283 28209002 35008566 40843327 42313503 52512849 81686654 84627006 98731507 105025698 122529981 126940509 197463014 245059962 253881018 296194521 367589943 592389042 735179886 888583563 1777167126 1791271627 3582543254 5373814881 10747629762 12538901389 16121444643 25077802778 32242889286 37616704167 75233408334 112850112501 225700225002