Search a number
-
+
33221120193 = 3356911811831
BaseRepresentation
bin11110111100001000…
…100001000011000001
310011202020101202121000
4132330020201003001
51021014101321233
623132255522213
72254151601552
oct367410410301
9104666352530
1033221120193
11130a8502338
126531829369
133195819b91
141872170329
15ce67e9d13
hex7bc2210c1

33221120193 has 32 divisors (see below), whose sum is σ = 49371667200. Its totient is φ = 22077705600.

The previous prime is 33221120183. The next prime is 33221120267. The reversal of 33221120193 is 39102112233.

33221120193 is a `hidden beast` number, since 332 + 21 + 120 + 193 = 666.

It is not a de Polignac number, because 33221120193 - 29 = 33221119681 is a prime.

It is a super-2 number, since 2×332211201932 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33221120123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18142788 + ... + 18144618.

It is an arithmetic number, because the mean of its divisors is an integer number (1542864600).

Almost surely, 233221120193 is an apocalyptic number.

It is an amenable number.

33221120193 is a deficient number, since it is larger than the sum of its proper divisors (16150547007).

33221120193 is a wasteful number, since it uses less digits than its factorization.

33221120193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 33221120193 in words is "thirty-three billion, two hundred twenty-one million, one hundred twenty thousand, one hundred ninety-three".

Divisors: 1 3 9 27 569 1181 1707 1831 3543 5121 5493 10629 15363 16479 31887 49437 671989 1041839 2015967 2162411 3125517 6047901 6487233 9376551 18143703 19461699 28129653 58385097 1230411859 3691235577 11073706731 33221120193