Search a number
-
+
229434053400 = 233252127463363
BaseRepresentation
bin1101010110101101010…
…1011101001100011000
3210221012122122112002100
43111223111131030120
512224340104202100
6253222304003400
722401406163526
oct3255325351430
9727178575070
10229434053400
11893365a6172
1238571000560
131883537c616
14b1672c9316
155e7c55a400
hex356b55d318

229434053400 has 72 divisors (see below), whose sum is σ = 770516035380. Its totient is φ = 61182413760.

The previous prime is 229434053393. The next prime is 229434053417. The reversal of 229434053400 is 4350434922.

229434053400 is a `hidden beast` number, since 2 + 2 + 94 + 34 + 0 + 534 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 63729882 + ... + 63733481.

Almost surely, 2229434053400 is an apocalyptic number.

229434053400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229434053400 is an abundant number, since it is smaller than the sum of its proper divisors (541081981980).

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

229434053400 is a wasteful number, since it uses less digits than its factorization.

229434053400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127463385 (or 127463373 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 229434053400 in words is "two hundred twenty-nine billion, four hundred thirty-four million, fifty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 127463363 254926726 382390089 509853452 637316815 764780178 1019706904 1147170267 1274633630 1529560356 1911950445 2294340534 2549267260 3059120712 3186584075 3823900890 4588681068 5098534520 5735851335 6373168150 7647801780 9177362136 9559752225 11471702670 12746336300 15295603560 19119504450 22943405340 25492672600 28679256675 38239008900 45886810680 57358513350 76478017800 114717026700 229434053400