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133002204 = 223196173131
BaseRepresentation
bin1111110110101…
…11001111011100
3100021021012201120
413323113033130
5233022032304
621110410540
73203333346
oct773271734
9307235646
10133002204
1169092585
1238660a50
132172a13a
1413942296
15ba230d9
hex7ed73dc

133002204 has 96 divisors (see below), whose sum is σ = 339144960. Its totient is φ = 40435200.

The previous prime is 133002179. The next prime is 133002211. The reversal of 133002204 is 402200331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015219 + ... + 1015349.

It is an arithmetic number, because the mean of its divisors is an integer number (3532760).

Almost surely, 2133002204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133002204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169572480).

133002204 is an abundant number, since it is smaller than the sum of its proper divisors (206142756).

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

133002204 is a wasteful number, since it uses less digits than its factorization.

133002204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 133002204 is about 11532.6581497936. The cubic root of 133002204 is about 510.4496917959.

Adding to 133002204 its reverse (402200331), we get a palindrome (535202535).

The spelling of 133002204 in words is "one hundred thirty-three million, two thousand, two hundred four".

Divisors: 1 2 3 4 6 12 19 38 57 61 73 76 114 122 131 146 183 219 228 244 262 292 366 393 438 524 732 786 876 1159 1387 1572 2318 2489 2774 3477 4161 4453 4636 4978 5548 6954 7467 7991 8322 8906 9563 9956 13359 13908 14934 15982 16644 17812 19126 23973 26718 28689 29868 31964 38252 47946 53436 57378 84607 95892 114756 151829 169214 181697 253821 303658 338428 363394 455487 507642 545091 583343 607316 726788 910974 1015284 1090182 1166686 1750029 1821948 2180364 2333372 3500058 7000116 11083517 22167034 33250551 44334068 66501102 133002204