Search a number
-
+
232061440 = 2951319367
BaseRepresentation
bin11011101010011…
…11101000000000
3121011122221110011
431311033220000
5433401431230
635005514304
75515326652
oct1565175000
9534587404
10232061440
11109aa1216
1265872994
1339101680
1422b6a6d2
151558de2a
hexdd4fa00

232061440 has 160 divisors (see below), whose sum is σ = 632459520. Its totient is φ = 80953344.

The previous prime is 232061437. The next prime is 232061449. The reversal of 232061440 is 44160232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (232061449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632137 + ... + 632503.

It is an arithmetic number, because the mean of its divisors is an integer number (3952872).

Almost surely, 2232061440 is an apocalyptic number.

232061440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316229760).

232061440 is an abundant number, since it is smaller than the sum of its proper divisors (400398080).

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

232061440 is a wasteful number, since it uses less digits than its factorization.

232061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 232061440 is about 15233.5629450237. The cubic root of 232061440 is about 614.5176026329.

The spelling of 232061440 in words is "two hundred thirty-two million, sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 128 130 152 160 190 208 247 256 260 304 320 367 380 416 494 512 520 608 640 734 760 832 988 1040 1216 1235 1280 1468 1520 1664 1835 1976 2080 2432 2470 2560 2936 3040 3328 3670 3952 4160 4771 4864 4940 5872 6080 6656 6973 7340 7904 8320 9542 9728 9880 11744 12160 13946 14680 15808 16640 19084 19760 23488 23855 24320 27892 29360 31616 33280 34865 38168 39520 46976 47710 48640 55784 58720 63232 69730 76336 79040 90649 93952 95420 111568 117440 126464 139460 152672 158080 181298 187904 190840 223136 234880 278920 305344 316160 362596 381680 446272 453245 469760 557840 610688 632320 725192 763360 892544 906490 939520 1115680 1221376 1450384 1526720 1785088 1812980 2231360 2442752 2900768 3053440 3570176 3625960 4462720 5801536 6106880 7251920 8925440 11603072 12213760 14503840 17850880 23206144 29007680 46412288 58015360 116030720 232061440