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30434222000 = 2453713167221
BaseRepresentation
bin11100010110000001…
…010101111110110000
32220120000100122222102
4130112001111332300
5444312130101000
621551542555532
72125121422130
oct342601257660
986500318872
1030434222000
11119a8363496
125a94438ba8
132b403292b0
141689d9aac0
15bd1cec3d5
hex716055fb0

30434222000 has 160 divisors (see below), whose sum is σ = 90572786304. Its totient is φ = 9631872000.

The previous prime is 30434221997. The next prime is 30434222083. The reversal of 30434222000 is 22243403.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98390 + ... + 265610.

Almost surely, 230434222000 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 30434222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45286393152).

30434222000 is an abundant number, since it is smaller than the sum of its proper divisors (60138564304).

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

30434222000 is a wasteful number, since it uses less digits than its factorization.

30434222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167264 (or 167248 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 30434222000 its reverse (22243403), we get a palindrome (30456465403).

The spelling of 30434222000 in words is "thirty billion, four hundred thirty-four million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 125 130 140 175 182 200 208 250 260 280 325 350 364 400 455 500 520 560 650 700 728 875 910 1000 1040 1300 1400 1456 1625 1750 1820 2000 2275 2600 2800 3250 3500 3640 4550 5200 6500 7000 7280 9100 11375 13000 14000 18200 22750 26000 36400 45500 91000 167221 182000 334442 668884 836105 1170547 1337768 1672210 2173873 2341094 2675536 3344420 4180525 4347746 4682188 5852735 6688840 8361050 8695492 9364376 10869365 11705470 13377680 15217111 16722100 17390984 18728752 20902625 21738730 23410940 29263675 30434222 33444200 34781968 41805250 43477460 46821880 54346825 58527350 60868444 66888400 76085555 83610500 86954920 93643760 108693650 117054700 121736888 146318375 152171110 167221000 173909840 217387300 234109400 243473776 271734125 292636750 304342220 334442000 380427775 434774600 468218800 543468250 585273500 608684440 760855550 869549200 1086936500 1170547000 1217368880 1521711100 1902138875 2173873000 2341094000 3043422200 3804277750 4347746000 6086844400 7608555500 15217111000 30434222000