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229494494922 = 237111015419091
BaseRepresentation
bin1101010110111011110…
…0000001011011001010
3210221100212101021021020
43111232330001123022
512230001042314142
6253232303253310
722403042010060
oct3255674013312
9727325337236
10229494494922
1189367728840
12385892aa236
1318844a52534
14b171340030
155e829e8cec
hex356ef016ca

229494494922 has 128 divisors (see below), whose sum is σ = 579043731456. Its totient is φ = 58903200000.

The previous prime is 229494494903. The next prime is 229494495017.

It is a happy number.

229494494922 is nontrivially palindromic in base 10.

229494494922 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25239597 + ... + 25248687.

It is an arithmetic number, because the mean of its divisors is an integer number (4523779152).

Almost surely, 2229494494922 is an apocalyptic number.

229494494922 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 229494494922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289521865728).

229494494922 is an abundant number, since it is smaller than the sum of its proper divisors (349549236534).

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

229494494922 is a wasteful number, since it uses less digits than its factorization.

229494494922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9756.

The product of its digits is 26873856, while the sum is 60.

The spelling of 229494494922 in words is "two hundred twenty-nine billion, four hundred ninety-four million, four hundred ninety-four thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 101 154 202 231 303 462 541 606 707 1082 1111 1414 1623 2121 2222 3246 3333 3787 4242 5951 6666 7574 7777 9091 11361 11902 15554 17853 18182 22722 23331 27273 35706 41657 46662 54546 54641 63637 83314 100001 109282 124971 127274 163923 190911 200002 249942 300003 327846 381822 382487 600006 601051 700007 764974 918191 1147461 1202102 1400014 1803153 1836382 2100021 2294922 2754573 3606306 4200042 4207357 4918231 5509146 6427337 8414714 9836462 10100101 12622071 12854674 14754693 19282011 20200202 25244142 29509386 30300303 34427617 38564022 54100541 60600606 68855234 70700707 103282851 108201082 141401414 162301623 206565702 212102121 324603246 378703787 424204242 496741331 757407574 993482662 1136111361 1490223993 2272222722 2980447986 3477189317 5464154641 6954378634 10431567951 10928309282 16392463923 20863135902 32784927846 38249082487 76498164974 114747247461 229494494922