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629223868 = 227137197251
BaseRepresentation
bin100101100000010…
…011000110111100
31121211222212212201
4211200103012330
52242040130433
6142234241244
721410212630
oct4540230674
91554885781
10629223868
112a31a9229
12156886224
13a048b520
145d7d2dc0
153a391a7d
hex258131bc

629223868 has 96 divisors (see below), whose sum is σ = 1394039808. Its totient is φ = 241920000.

The previous prime is 629223863. The next prime is 629223869. The reversal of 629223868 is 868322926.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629223863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2506743 + ... + 2506993.

It is an arithmetic number, because the mean of its divisors is an integer number (14521248).

Almost surely, 2629223868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629223868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697019904).

629223868 is an abundant number, since it is smaller than the sum of its proper divisors (764815940).

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

629223868 is a wasteful number, since it uses less digits than its factorization.

629223868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 441 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The square root of 629223868 is about 25084.3351117784. The cubic root of 629223868 is about 856.9097073861.

The spelling of 629223868 in words is "six hundred twenty-nine million, two hundred twenty-three thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 71 91 97 142 182 194 251 284 364 388 497 502 679 923 994 1004 1261 1358 1757 1846 1988 2522 2716 3263 3514 3692 5044 6461 6526 6887 7028 8827 12922 13052 13774 17654 17821 22841 24347 25844 27548 35308 35642 45682 48209 48694 71284 89531 91364 96418 97388 124747 170429 179062 192836 231673 249494 316511 340858 358124 463346 498988 626717 633022 681716 926692 1253434 1266044 1621711 1728637 2215577 2506868 3243422 3457274 4431154 6486844 6914548 8862308 12100459 22472281 24200918 44944562 48401836 89889124 157305967 314611934 629223868