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231352414000 = 24531033111197
BaseRepresentation
bin1101011101110110101…
…1011010111100110000
3211010011100101100002221
43113131223122330300
512242302204222000
6254140513050424
722500062033551
oct3273553327460
9733140340087
10231352414000
118a130451954
1238a07556a14
1318a7c941336
14b2a9db2328
156040b9361a
hex35ddadaf30

231352414000 has 80 divisors (see below), whose sum is σ = 559514251296. Its totient is φ = 92523744000.

The previous prime is 231352413997. The next prime is 231352414019. The reversal of 231352414000 is 414253132.

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 (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20656402 + ... + 20667598.

Almost surely, 2231352414000 is an apocalyptic number.

231352414000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231352414000 is an abundant number, since it is smaller than the sum of its proper divisors (328161837296).

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

231352414000 is a wasteful number, since it uses less digits than its factorization.

231352414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21551 (or 21535 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 231352414000 its reverse (414253132), we get a palindrome (231766667132).

The spelling of 231352414000 in words is "two hundred thirty-one billion, three hundred fifty-two million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10331 11197 20662 22394 41324 44788 51655 55985 82648 89576 103310 111970 165296 179152 206620 223940 258275 279925 413240 447880 516550 559850 826480 895760 1033100 1119700 1291375 1399625 2066200 2239400 2582750 2799250 4132400 4478800 5165500 5598500 10331000 11197000 20662000 22394000 115676207 231352414 462704828 578381035 925409656 1156762070 1850819312 2313524140 2891905175 4627048280 5783810350 9254096560 11567620700 14459525875 23135241400 28919051750 46270482800 57838103500 115676207000 231352414000