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221233212410420 = 225721698713289467
BaseRepresentation
bin110010010011010111011111…
…000010011100101000110100
31002000022200120221210221020102
4302103113133002130220310
5212444141104334113140
62102305045033253232
764412400146020400
oct6223273702345064
91060280527727212
10221233212410420
116454552995aa51
122099058b264218
13965a282917c72
143c8ba5d310100
151a89bb4789e15
hexc935df09ca34

221233212410420 has 72 divisors (see below), whose sum is σ = 540472988827296. Its totient is φ = 75846916143936.

The previous prime is 221233212410359. The next prime is 221233212410443. The reversal of 221233212410420 is 24014212332122.

221233212410420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10002527 + ... + 23291993.

It is an arithmetic number, because the mean of its divisors is an integer number (7506569289268).

Almost surely, 2221233212410420 is an apocalyptic number.

221233212410420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221233212410420 is an abundant number, since it is smaller than the sum of its proper divisors (319239776416876).

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

221233212410420 is a wasteful number, since it uses less digits than its factorization.

221233212410420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13306477 (or 13306468 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 221233212410420 its reverse (24014212332122), we get a palindrome (245247424742542).

The spelling of 221233212410420 in words is "two hundred twenty-one trillion, two hundred thirty-three billion, two hundred twelve million, four hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 16987 33974 67948 84935 118909 169870 237818 339740 475636 594545 832363 1189090 1664726 2378180 3329452 4161815 8323630 13289467 16647260 26578934 53157868 66447335 93026269 132894670 186052538 265789340 372105076 465131345 651183883 930262690 1302367766 1860525380 2604735532 3255919415 6511838830 13023677660 225748175929 451496351858 902992703716 1128740879645 1580237231503 2257481759290 3160474463006 4514963518580 6320948926012 7901186157515 11061660620521 15802372315030 22123321241042 31604744630060 44246642482084 55308303102605 110616606205210 221233212410420