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33420157 = 533891621
BaseRepresentation
bin111111101111…
…1001101111101
32022212220211121
41333133031331
532023421112
63152150541
7554031601
oct177371575
968786747
1033420157
1117957071
12b238451
136c01954
14461d501
152e02407
hex1fdf37d

33420157 has 8 divisors (see below), whose sum is σ = 34159320. Its totient is φ = 32685120.

The previous prime is 33420109. The next prime is 33420161. The reversal of 33420157 is 75102433.

It can be written as a sum of positive squares in 4 ways, for example, as 7958041 + 25462116 = 2821^2 + 5046^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33420157 - 219 = 32895869 is a prime.

It is a super-2 number, since 2×334201572 = 2233813787809298, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33220157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19807 + ... + 21427.

It is an arithmetic number, because the mean of its divisors is an integer number (4269915).

Almost surely, 233420157 is an apocalyptic number.

It is an amenable number.

33420157 is a deficient number, since it is larger than the sum of its proper divisors (739163).

33420157 is a wasteful number, since it uses less digits than its factorization.

33420157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063.

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 33420157 is about 5781.0169520596. The cubic root of 33420157 is about 322.1089770408.

The spelling of 33420157 in words is "thirty-three million, four hundred twenty thousand, one hundred fifty-seven".

Divisors: 1 53 389 1621 20617 85913 630569 33420157