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229404211824 = 24361156749999
BaseRepresentation
bin1101010110100110001…
…1100111101001110000
3210221010120111102010210
43111221203213221300
512224304434234244
6253215320224120
722400564425044
oct3255143475160
9727116442123
10229404211824
1189320773807
123856300b040
131882c131798
14b16335c024
155e79b134b9
hex35698e7a70

229404211824 has 80 divisors (see below), whose sum is σ = 602739200000. Its totient is φ = 75164993280.

The previous prime is 229404211811. The next prime is 229404211843. The reversal of 229404211824 is 428112404922.

It is a super-2 number, since 2×2294042118242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4563177 + ... + 4613175.

It is an arithmetic number, because the mean of its divisors is an integer number (7534240000).

Almost surely, 2229404211824 is an apocalyptic number.

229404211824 is a gapful number since it is divisible by the number (24) 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 229404211824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301369600000).

229404211824 is an abundant number, since it is smaller than the sum of its proper divisors (373334988176).

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

229404211824 is a wasteful number, since it uses less digits than its factorization.

229404211824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51638 (or 51632 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 229404211824 in words is "two hundred twenty-nine billion, four hundred four million, two hundred eleven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 1567 2928 3134 4701 6268 9402 12536 18804 25072 37608 49999 75216 95587 99998 149997 191174 199996 286761 299994 382348 399992 573522 599988 764696 799984 1147044 1199976 1529392 2294088 2399952 3049939 4588176 6099878 9149817 12199756 18299634 24399512 36599268 48799024 73198536 78348433 146397072 156696866 235045299 313393732 470090598 626787464 940181196 1253574928 1880362392 3760724784 4779254413 9558508826 14337763239 19117017652 28675526478 38234035304 57351052956 76468070608 114702105912 229404211824