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354230000214100 = 225253244837272981
BaseRepresentation
bin101000010001010111001100…
…1010101001110000001010100
31201110020001112202210000111021
41100202232121111032001110
5332412201020023322400
63253215003210250524
7134420162424611353
oct12042563125160124
91643201482700437
10354230000214100
11a296111040024a
1233890192426a44
131228699038105a
146368b7592399a
152ae450656a71a
hex1422b9954e054

354230000214100 has 72 divisors (see below), whose sum is σ = 783188547521688. Its totient is φ = 139017489062400.

The previous prime is 354230000214049. The next prime is 354230000214133. The reversal of 354230000214100 is 1412000032453.

It can be written as a sum of positive squares in 12 ways, for example, as 73734027269904 + 280495972944196 = 8586852^2 + 16748014^2 .

It is a super-3 number, since 3×3542300002141003 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1297499610 + ... + 1297772590.

It is an arithmetic number, because the mean of its divisors is an integer number (10877618715579).

Almost surely, 2354230000214100 is an apocalyptic number.

It is an amenable number.

354230000214100 is an abundant number, since it is smaller than the sum of its proper divisors (428958547307588).

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

354230000214100 is a wasteful number, since it uses less digits than its factorization.

354230000214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517885 (or 517878 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 354230000214100 its reverse (1412000032453), we get a palindrome (355642000246553).

The spelling of 354230000214100 in words is "three hundred fifty-four trillion, two hundred thirty billion, two hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 244837 272981 489674 545962 979348 1091924 1224185 1364905 2448370 2729810 4896740 5459620 6120925 6824525 12241850 12976361 13649050 14467993 24483700 25952722 27298100 28935986 51905444 57871972 64881805 72339965 129763610 144679930 259527220 289359860 324409025 361699825 648818050 723399650 1297636100 1446799300 66835849097 133671698194 267343396388 334179245485 668358490970 1336716981940 1670896227425 3341792454850 3542300002141 6683584909700 7084600004282 14169200008564 17711500010705 35423000021410 70846000042820 88557500053525 177115000107050 354230000214100