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30930256900 = 22524324092
BaseRepresentation
bin11100110011100101…
…100100010000000100
32221211120201211221101
4130303211210100010
51001321121210100
622113102425444
72143323563044
oct346345442004
987746654841
1030930256900
1112132361894
125bb2592284
132bbc02367a
1416d5bdd724
15c1063086a
hex733964404

30930256900 has 81 divisors (see below), whose sum is σ = 68884276671. Its totient is φ = 12054833280.

The previous prime is 30930256897. The next prime is 30930256949. The reversal of 30930256900 is 965203903.

The square root of 30930256900 is 175870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3551921604 + 27378335296 = 59598^2 + 165464^2 .

It is a super-2 number, since 2×309302569002 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 30930256900.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75623896 + ... + 75624304.

Almost surely, 230930256900 is an apocalyptic number.

30930256900 is the 175870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30930256900

30930256900 is an abundant number, since it is smaller than the sum of its proper divisors (37954019771).

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

30930256900 is an equidigital number, since it uses as much as digits as its factorization.

30930256900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 37.

The spelling of 30930256900 in words is "thirty billion, nine hundred thirty million, two hundred fifty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 409 430 818 860 1075 1636 1849 2045 2150 3698 4090 4300 7396 8180 9245 10225 17587 18490 20450 35174 36980 40900 46225 70348 87935 92450 167281 175870 184900 334562 351740 439675 669124 756241 836405 879350 1512482 1672810 1758700 3024964 3345620 3781205 4182025 7193083 7562410 8364050 14386166 15124820 16728100 18906025 28772332 35965415 37812050 71930830 75624100 143861660 179827075 309302569 359654150 618605138 719308300 1237210276 1546512845 3093025690 6186051380 7732564225 15465128450 30930256900