Search a number
-
+
221233100022 = 232111765725817
BaseRepresentation
bin1100111000001010000…
…1010011010011110110
3210011001010002220222100
43032002201103103312
512111041133200042
6245344425042530
721661235215464
oct3160241232366
9704033086870
10221233100022
1185908354550
1236a62626446
1317b2930a29c
14a9ca071834
155b4c5b824c
hex33828534f6

221233100022 has 48 divisors (see below), whose sum is σ = 553674290832. Its totient is φ = 63096783360.

The previous prime is 221233100021. The next prime is 221233100059. The reversal of 221233100022 is 220001332122.

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

It is a junction number, because it is equal to n+sod(n) for n = 221233099968 and 221233100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221233100021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32859543 + ... + 32866274.

It is an arithmetic number, because the mean of its divisors is an integer number (11534881059).

Almost surely, 2221233100022 is an apocalyptic number.

221233100022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221233100022 is an abundant number, since it is smaller than the sum of its proper divisors (332441190810).

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

221233100022 is a wasteful number, since it uses less digits than its factorization.

221233100022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65725853 (or 65725850 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221233100022 its reverse (220001332122), we get a palindrome (441234432144).

The spelling of 221233100022 in words is "two hundred twenty-one billion, two hundred thirty-three million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 65725817 131451634 197177451 394354902 591532353 722983987 1117338889 1183064706 1445967974 2168951961 2234677778 3352016667 4337903922 6506855883 6704033334 10056050001 12290727779 13013711766 20112100002 24581455558 36872183337 73744366674 110616550011 221233100022