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30214400202 = 23272359176711
BaseRepresentation
bin11100001000111010…
…110010100011001010
32212222200201120011100
4130020322302203022
5443334341301302
621514051242230
72116512110220
oct341072624312
985880646140
1030214400202
11118a5272088
125a328a9376
132b06921a1c
141668ad8b10
15bbc879d1c
hex708eb28ca

30214400202 has 96 divisors (see below), whose sum is σ = 79393167360. Its totient is φ = 8117350560.

The previous prime is 30214400197. The next prime is 30214400221. The reversal of 30214400202 is 20200441203.

30214400202 is a `hidden beast` number, since 3 + 0 + 21 + 440 + 0 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82627 + ... + 259337.

It is an arithmetic number, because the mean of its divisors is an integer number (827012160).

Almost surely, 230214400202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30214400202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39696583680).

30214400202 is an abundant number, since it is smaller than the sum of its proper divisors (49178767158).

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

30214400202 is a wasteful number, since it uses less digits than its factorization.

30214400202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176808 (or 176805 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 30214400202 its reverse (20200441203), we get a palindrome (50414841405).

The spelling of 30214400202 in words is "thirty billion, two hundred fourteen million, four hundred thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 59 63 69 118 126 138 161 177 207 322 354 413 414 483 531 826 966 1062 1239 1357 1449 2478 2714 2898 3717 4071 7434 8142 9499 12213 18998 24426 28497 56994 85491 170982 176711 353422 530133 1060266 1236977 1590399 2473954 3180798 3710931 4064353 7421862 8128706 10425949 11132793 12193059 20851898 22265586 24386118 28450471 31277847 36579177 56900942 62555694 72981643 73158354 85351413 93833541 145963286 170702826 187667082 218944929 239796827 256054239 437889858 479593654 512108478 656834787 719390481 1313669574 1438780962 1678577789 2158171443 3357155578 4316342886 5035733367 10071466734 15107200101 30214400202