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133912200 = 23352832689
BaseRepresentation
bin1111111101101…
…01011010001000
3100022222110000010
413332311122020
5233240142300
621142111520
73214143402
oct776653210
9308873003
10133912200
1169654244
1238a1b5a0
13219883b6
1413adbb72
15bb52a50
hex7fb5688

133912200 has 96 divisors (see below), whose sum is σ = 420285600. Its totient is φ = 35266560.

The previous prime is 133912199. The next prime is 133912217. The reversal of 133912200 is 2219331.

It is a happy number.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48456 + ... + 51144.

It is an arithmetic number, because the mean of its divisors is an integer number (4377975).

Almost surely, 2133912200 is an apocalyptic number.

133912200 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 133912200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210142800).

133912200 is an abundant number, since it is smaller than the sum of its proper divisors (286373400).

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

133912200 is a wasteful number, since it uses less digits than its factorization.

133912200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 133912200 is about 11572.0438989834. The cubic root of 133912200 is about 511.6112058966.

The spelling of 133912200 in words is "one hundred thirty-three million, nine hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 150 166 200 249 300 332 415 498 600 664 830 996 1245 1660 1992 2075 2490 2689 3320 4150 4980 5378 6225 8067 8300 9960 10756 12450 13445 16134 16600 21512 24900 26890 32268 40335 49800 53780 64536 67225 80670 107560 134450 161340 201675 223187 268900 322680 403350 446374 537800 669561 806700 892748 1115935 1339122 1613400 1785496 2231870 2678244 3347805 4463740 5356488 5579675 6695610 8927480 11159350 13391220 16739025 22318700 26782440 33478050 44637400 66956100 133912200