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229739993344 = 2829210332
BaseRepresentation
bin1101010111110110010…
…0100001100100000000
3210221222222022212210101
43111331210201210000
512231001414241334
6253312513212144
722412112502651
oct3257544414400
9727888285711
10229739993344
11894832673a4
1238637561054
1318883879c84
14b195ba7528
155e9933e214
hex357d921900

229739993344 has 81 divisors (see below), whose sum is σ = 475401252963. Its totient is φ = 110801596416.

The previous prime is 229739993323. The next prime is 229739993377. The reversal of 229739993344 is 443399937922.

It is a happy number.

The square root of 229739993344 is 479312.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 78176160000 + 151563833344 = 279600^2 + 389312^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 222400252 + ... + 222401284.

Almost surely, 2229739993344 is an apocalyptic number.

229739993344 is the 479312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229739993344

229739993344 is an abundant number, since it is smaller than the sum of its proper divisors (245661259619).

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

229739993344 is an frugal number, since it uses more digits than its factorization.

229739993344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 1064 counting only the distinct ones).

The product of its digits is 79361856, while the sum is 64.

Multiplying 229739993344 by its sum of digits (64), we get a square (14703359574016 = 38344962).

229739993344 divided by its sum of digits (64) gives a square (3589687396 = 599142).

The spelling of 229739993344 in words is "two hundred twenty-nine billion, seven hundred thirty-nine million, nine hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 841 928 1033 1682 1856 2066 3364 3712 4132 6728 7424 8264 13456 16528 26912 29957 33056 53824 59914 66112 107648 119828 132224 215296 239656 264448 479312 868753 958624 1067089 1737506 1917248 2134178 3475012 3834496 4268356 6950024 7668992 8536712 13900048 17073424 27800096 30945581 34146848 55600192 61891162 68293696 111200384 123782324 136587392 222400768 247564648 273174784 495129296 897421849 990258592 1794843698 1980517184 3589687396 3961034368 7179374792 7922068736 14358749584 28717499168 57434998336 114869996672 229739993344