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231402480 = 24351079011
BaseRepresentation
bin11011100101011…
…10101111110000
3121010102110112020
431302232233300
5433214334410
634543431440
75506613541
oct1562565760
9533373466
10231402480
11109691121
12655b5580
1338c3075a
1422a384c8
15154ada70
hexdcaebf0

231402480 has 80 divisors (see below), whose sum is σ = 724132224. Its totient is φ = 61123840.

The previous prime is 231402473. The next prime is 231402497. The reversal of 231402480 is 84204132.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 231402480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21175 + ... + 30185.

Almost surely, 2231402480 is an apocalyptic number.

231402480 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 231402480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362066112).

231402480 is an abundant number, since it is smaller than the sum of its proper divisors (492729744).

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

231402480 is a wasteful number, since it uses less digits than its factorization.

231402480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9134 (or 9128 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 231402480 is about 15211.9190110913. The cubic root of 231402480 is about 613.9353912785.

The spelling of 231402480 in words is "two hundred thirty-one million, four hundred two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 428 535 642 856 1070 1284 1605 1712 2140 2568 3210 4280 5136 6420 8560 9011 12840 18022 25680 27033 36044 45055 54066 72088 90110 108132 135165 144176 180220 216264 270330 360440 432528 540660 720880 964177 1081320 1928354 2162640 2892531 3856708 4820885 5785062 7713416 9641770 11570124 14462655 15426832 19283540 23140248 28925310 38567080 46280496 57850620 77134160 115701240 231402480