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230401430480 = 245131811223977
BaseRepresentation
bin1101011010010011111…
…1101101001111010000
3211000201001221100222002
43112210333231033100
512233330231233410
6253502302133132
722434363563054
oct3264477551720
9730631840862
10230401430480
1189792667961
12387a0b811a8
131895a9069b0
14b219983c64
155ed74457a5
hex35a4fed3d0

230401430480 has 80 divisors (see below), whose sum is σ = 580077445584. Its totient is φ = 84601221120.

The previous prime is 230401430471. The next prime is 230401430503. The reversal of 230401430480 is 84034104032.

It can be written as a sum of positive squares in 8 ways, for example, as 138735390784 + 91666039696 = 372472^2 + 302764^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423749 + ... + 800228.

Almost surely, 2230401430480 is an apocalyptic number.

230401430480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230401430480 is an abundant number, since it is smaller than the sum of its proper divisors (349676015104).

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

230401430480 is a wasteful number, since it uses less digits than its factorization.

230401430480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224184 (or 1224178 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 230401430480 in words is "two hundred thirty billion, four hundred one million, four hundred thirty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 181 208 260 362 520 724 905 1040 1448 1810 2353 2896 3620 4706 7240 9412 11765 14480 18824 23530 37648 47060 94120 188240 1223977 2447954 4895908 6119885 9791816 12239770 15911701 19583632 24479540 31823402 48959080 63646804 79558505 97918160 127293608 159117010 221539837 254587216 318234020 443079674 636468040 886159348 1107699185 1272936080 1772318696 2215398370 2880017881 3544637392 4430796740 5760035762 8861593480 11520071524 14400089405 17723186960 23040143048 28800178810 46080286096 57600357620 115200715240 230401430480