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21970650625 = 5474114
BaseRepresentation
bin10100011101100011…
…011000011000000001
32002201011122200200221
4110131203120120001
5324443441310000
614032043143041
71405311310000
oct243543303001
962634580627
1021970650625
119354950000
124311b14a81
1320c1a471b1
1410c5d00c37
15888c8261a
hex51d8d8601

21970650625 has 125 divisors (see below), whose sum is σ = 35230992005. Its totient is φ = 13695990000.

The previous prime is 21970650601. The next prime is 21970650649. The reversal of 21970650625 is 52605607912.

The square root of 21970650625 is 148225.

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

It is an interprime number because it is at equal distance from previous prime (21970650601) and next prime (21970650649).

It can be written as a sum of positive squares in 2 ways, for example, as 1722499009 + 20248151616 = 41503^2 + 142296^2 .

It is a tau number, because it is divible by the number of its divisors (125).

It is not a de Polignac number, because 21970650625 - 29 = 21970650113 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 124 ways as a sum of consecutive naturals, for example, 1997331870 + ... + 1997331880.

Almost surely, 221970650625 is an apocalyptic number.

21970650625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21970650625 is the 148225-th square number.

21970650625 is the 74113-rd centered octagonal number.

It is an amenable number.

21970650625 is a deficient number, since it is larger than the sum of its proper divisors (13260341380).

21970650625 is an frugal number, since it uses more digits than its factorization.

21970650625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 21970650625 in words is "twenty-one billion, nine hundred seventy million, six hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 125 175 245 275 343 385 539 605 625 847 875 1225 1331 1375 1715 1925 2401 2695 3025 3773 4235 4375 5929 6125 6655 6875 8575 9317 9625 12005 13475 14641 15125 18865 21175 26411 29645 30625 33275 41503 42875 46585 48125 60025 65219 67375 73205 75625 94325 102487 105875 132055 148225 166375 207515 214375 232925 290521 300125 326095 336875 366025 456533 471625 512435 529375 660275 717409 741125 831875 1037575 1164625 1452605 1500625 1630475 1830125 2282665 2358125 2562175 3195731 3301375 3587045 3705625 5021863 5187875 5823125 7263025 8152375 9150625 11413325 12810875 15978655 16506875 17935225 25109315 25939375 35153041 36315125 40761875 57066625 64054375 79893275 89676125 125546575 175765205 181575625 285333125 399466375 448380625 627732875 878826025 1997331875 3138664375 4394130125 21970650625