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221222023002 = 232531621143053
BaseRepresentation
bin1100111000000111011…
…1000010111101011010
3210011000100021011011100
43032001313002331122
512111030314214002
6245343351412230
721661042112121
oct3160167027532
9704010234140
10221222023002
1185902079192
1236a5a984076
1317b26c2c436
14a9c87caab8
155b4b62b11c
hex3381dc2f5a

221222023002 has 48 divisors (see below), whose sum is σ = 488662736328. Its totient is φ = 72304202880.

The previous prime is 221222022997. The next prime is 221222023019. The reversal of 221222023002 is 200320222122.

221222023002 is a `hidden beast` number, since 2 + 212 + 220 + 230 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 210524051241 + 10697971761 = 458829^2 + 103431^2 .

It is a super-2 number, since 2×2212220230022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1474908 + ... + 1617960.

Almost surely, 2221222023002 is an apocalyptic number.

221222023002 is an abundant number, since it is smaller than the sum of its proper divisors (267440713326).

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

221222023002 is a wasteful number, since it uses less digits than its factorization.

221222023002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144735 (or 144732 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 221222023002 its reverse (200320222122), we get a palindrome (421542245124).

The spelling of 221222023002 in words is "two hundred twenty-one billion, two hundred twenty-two million, twenty-three thousand, two".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 1621 3242 4863 9726 14589 29178 85913 143053 171826 257739 286106 429159 515478 773217 858318 1287477 1546434 2574954 7581809 15163618 22745427 45490854 68236281 136472562 231888913 463777826 695666739 1391333478 2087000217 4174000434 12290112389 24580224778 36870337167 73740674334 110611011501 221222023002