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332164690 = 2511133159127
BaseRepresentation
bin10011110011000…
…110111001010010
3212011000201021221
4103303012321102
51140013232230
652543235254
711142232114
oct2363067122
9764021257
10332164690
11160553280
12932a8b2a
1353a80170
14321873b4
151e26427a
hex13cc6e52

332164690 has 128 divisors (see below), whose sum is σ = 743178240. Its totient is φ = 105235200.

The previous prime is 332164687. The next prime is 332164691. The reversal of 332164690 is 96461233.

It is a happy number.

332164690 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3321646902 = 220666762565592200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332164691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2615407 + ... + 2615533.

It is an arithmetic number, because the mean of its divisors is an integer number (5806080).

Almost surely, 2332164690 is an apocalyptic number.

332164690 is an abundant number, since it is smaller than the sum of its proper divisors (411013550).

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

332164690 is a wasteful number, since it uses less digits than its factorization.

332164690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248.

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 332164690 is about 18225.3858669714. The cubic root of 332164690 is about 692.5500335287.

The spelling of 332164690 in words is "three hundred thirty-two million, one hundred sixty-four thousand, six hundred ninety".

Divisors: 1 2 5 10 11 13 22 26 31 55 59 62 65 110 118 127 130 143 155 254 286 295 310 341 403 590 635 649 682 715 767 806 1270 1298 1397 1430 1534 1651 1705 1829 2015 2794 3245 3302 3410 3658 3835 3937 4030 4433 6490 6985 7493 7670 7874 8255 8437 8866 9145 13970 14986 16510 16874 18161 18290 19685 20119 22165 23777 36322 37465 39370 40238 42185 43307 44330 47554 51181 74930 82423 84370 86614 90805 97409 100595 102362 118885 164846 181610 194818 201190 216535 232283 237770 255905 261547 412115 433070 464566 487045 511810 523094 562991 824230 974090 1071499 1125982 1161415 1307735 2142998 2322830 2555113 2615470 2814955 3019679 5110226 5357495 5629910 6039358 10714990 12775565 15098395 25551130 30196790 33216469 66432938 166082345 332164690