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229393058000 = 2453114696529
BaseRepresentation
bin1101010110100011100…
…1000100100011010000
3210221002210111201222012
43111220321010203100
512224244110324000
6253214241202052
722400400551441
oct3255071044320
9727083451865
10229393058000
1189315445777
123855b330328
1318829a279a2
14b161a972c8
155e78b5d735
hex3568e448d0

229393058000 has 40 divisors (see below), whose sum is σ = 554672419080. Its totient is φ = 91757222400.

The previous prime is 229393057969. The next prime is 229393058009. The reversal of 229393058000 is 850393922.

It can be written as a sum of positive squares in 4 ways, for example, as 365727376 + 229027330624 = 19124^2 + 478568^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2293930580003 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229393058009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57346265 + ... + 57350264.

It is an arithmetic number, because the mean of its divisors is an integer number (13866810477).

Almost surely, 2229393058000 is an apocalyptic number.

229393058000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229393058000 is an abundant number, since it is smaller than the sum of its proper divisors (325279361080).

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

229393058000 is a wasteful number, since it uses less digits than its factorization.

229393058000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114696552 (or 114696536 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The spelling of 229393058000 in words is "two hundred twenty-nine billion, three hundred ninety-three million, fifty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 114696529 229393058 458786116 573482645 917572232 1146965290 1835144464 2293930580 2867413225 4587861160 5734826450 9175722320 11469652900 14337066125 22939305800 28674132250 45878611600 57348264500 114696529000 229393058000