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221221234212 = 223113783953987
BaseRepresentation
bin1100111000000111010…
…0000010011000100100
3210011000021210002010220
43032001310002120210
512111030113443322
6245343322444340
721661032315336
oct3160164023044
9704007702126
10221221234212
118590168a5a0
1236a5a6636b0
1317b26a143b4
14a9c8663456
155b4b52255c
hex3381d02624

221221234212 has 96 divisors (see below), whose sum is σ = 579027778560. Its totient is φ = 65145985920.

The previous prime is 221221234177. The next prime is 221221234229. The reversal of 221221234212 is 212432122122.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4070683 + ... + 4124669.

It is an arithmetic number, because the mean of its divisors is an integer number (6031539360).

Almost surely, 2221221234212 is an apocalyptic number.

221221234212 is a gapful number since it is divisible by the number (22) 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 221221234212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289513889280).

221221234212 is an abundant number, since it is smaller than the sum of its proper divisors (357806544348).

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

221221234212 is a wasteful number, since it uses less digits than its factorization.

221221234212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54881 (or 54879 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 221221234212 its reverse (212432122122), we get a palindrome (433653356334).

The spelling of 221221234212 in words is "two hundred twenty-one billion, two hundred twenty-one million, two hundred thirty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 839 1221 1628 1678 2442 2517 3356 4884 5034 9229 10068 18458 27687 31043 36916 53987 55374 62086 93129 107974 110748 124172 161961 186258 215948 323922 341473 372516 593857 647844 682946 1024419 1187714 1365892 1781571 1997519 2048838 2375428 3563142 3995038 4097676 5992557 7126284 7990076 11985114 21972709 23970228 43945418 45295093 65918127 87890836 90590186 131836254 135885279 181180372 263672508 271770558 498246023 543541116 996492046 1494738069 1675918441 1992984092 2989476138 3351836882 5027755323 5978952276 6703673764 10055510646 18435102851 20111021292 36870205702 55305308553 73740411404 110610617106 221221234212