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221076135 = 3457292689
BaseRepresentation
bin11010010110101…
…01101010100111
3120101222211110000
431023111222213
5423043414020
633534232343
75323054560
oct1513255247
9511884400
10221076135
11103878855
12620556b3
1336a564a7
142150b167
151461e090
hexd2d5aa7

221076135 has 80 divisors (see below), whose sum is σ = 468705600. Its totient is φ = 97542144.

The previous prime is 221076133. The next prime is 221076137. The reversal of 221076135 is 531670122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221076133) and next prime (221076137).

It is not a de Polignac number, because 221076135 - 21 = 221076133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 221076099 and 221076108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221076131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 80871 + ... + 83559.

It is an arithmetic number, because the mean of its divisors is an integer number (5858820).

Almost surely, 2221076135 is an apocalyptic number.

221076135 is an abundant number, since it is smaller than the sum of its proper divisors (247629465).

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

221076135 is a wasteful number, since it uses less digits than its factorization.

221076135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 221076135 is about 14868.6292239735. The cubic root of 221076135 is about 604.6637796717.

The spelling of 221076135 in words is "two hundred twenty-one million, seventy-six thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 29 35 45 63 81 87 105 135 145 189 203 261 315 405 435 567 609 783 945 1015 1305 1827 2349 2689 2835 3045 3915 5481 8067 9135 11745 13445 16443 18823 24201 27405 40335 56469 72603 77981 82215 94115 121005 169407 217809 233943 282345 363015 389905 508221 545867 701829 847035 1089045 1169715 1524663 1637601 2105487 2541105 2729335 3509145 4912803 6316461 7623315 8188005 10527435 14738409 24564015 31582305 44215227 73692045 221076135