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133022440 = 23583103389
BaseRepresentation
bin1111110110111…
…00001011101000
3100021022020111001
413323130023220
5233023204230
621111044344
73203446345
oct773341350
9307266431
10133022440
11690a6801
12386706b4
1321736405
14139497cc
15ba290ca
hex7edc2e8

133022440 has 64 divisors (see below), whose sum is σ = 306633600. Its totient is φ = 51923712.

The previous prime is 133022431. The next prime is 133022447. The reversal of 133022440 is 44220331.

It is not an unprimeable number, because it can be changed into a prime (133022447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341766 + ... + 342154.

It is an arithmetic number, because the mean of its divisors is an integer number (4791150).

Almost surely, 2133022440 is an apocalyptic number.

133022440 is a gapful number since it is divisible by the number (10) 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 133022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153316800).

133022440 is an abundant number, since it is smaller than the sum of its proper divisors (173611160).

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

133022440 is a wasteful number, since it uses less digits than its factorization.

133022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 133022440 is about 11533.5354510228. The cubic root of 133022440 is about 510.4755784249.

Adding to 133022440 its reverse (44220331), we get a palindrome (177242771).

The spelling of 133022440 in words is "one hundred thirty-three million, twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 83 103 166 206 332 389 412 415 515 664 778 824 830 1030 1556 1660 1945 2060 3112 3320 3890 4120 7780 8549 15560 17098 32287 34196 40067 42745 64574 68392 80134 85490 129148 160268 161435 170980 200335 258296 320536 322870 341960 400670 645740 801340 1291480 1602680 3325561 6651122 13302244 16627805 26604488 33255610 66511220 133022440