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30200322000 = 2435310747041
BaseRepresentation
bin11100001000000101…
…000101011111010000
32212221201020022111110
4130020011011133100
5443322240301000
621512425413320
72116251334002
oct341005053720
985851208443
1030200322000
1111898326a02
125a2a03a240
132b03a32b24
141666cb2372
15bbb4e8850
hex7081457d0

30200322000 has 160 divisors (see below), whose sum is σ = 98277888384. Its totient is φ = 7977984000.

The previous prime is 30200321999. The next prime is 30200322001. The reversal of 30200322000 is 22300203.

It is an interprime number because it is at equal distance from previous prime (30200321999) and next prime (30200322001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30200322001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618480 + ... + 665520.

Almost surely, 230200322000 is an apocalyptic number.

30200322000 is a gapful number since it is divisible by the number (30) 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 30200322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49138944192).

30200322000 is an abundant number, since it is smaller than the sum of its proper divisors (68077566384).

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

30200322000 is a wasteful number, since it uses less digits than its factorization.

30200322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47174 (or 47158 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 30200322000 its reverse (22300203), we get a palindrome (30222622203).

The spelling of 30200322000 in words is "thirty billion, two hundred million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 107 120 125 150 200 214 240 250 300 321 375 400 428 500 535 600 642 750 856 1000 1070 1200 1284 1500 1605 1712 2000 2140 2568 2675 3000 3210 4280 5136 5350 6000 6420 8025 8560 10700 12840 13375 16050 21400 25680 26750 32100 40125 42800 47041 53500 64200 80250 94082 107000 128400 141123 160500 188164 214000 235205 282246 321000 376328 470410 564492 642000 705615 752656 940820 1128984 1176025 1411230 1881640 2257968 2352050 2822460 3528075 3763280 4704100 5033387 5644920 5880125 7056150 9408200 10066774 11289840 11760250 14112300 15100161 17640375 18816400 20133548 23520500 25166935 28224600 30200322 35280750 40267096 47041000 50333870 56449200 60400644 70561500 75500805 80534192 94082000 100667740 120801288 125834675 141123000 151001610 201335480 241602576 251669350 282246000 302003220 377504025 402670960 503338700 604006440 629173375 755008050 1006677400 1208012880 1258346750 1510016100 1887520125 2013354800 2516693500 3020032200 3775040250 5033387000 6040064400 7550080500 10066774000 15100161000 30200322000