Search a number
-
+
212717720280 = 233513413325793
BaseRepresentation
bin1100011000011011110…
…1101101001011011000
3202100001122220210222110
43012012331231023120
511441121214022110
6241415434552320
721240225534462
oct3060675551330
9670048823873
10212717720280
118223867572a
12352868986a0
13170a0088950
14a41d16b132
1557eec17a20
hex3186f6d2d8

212717720280 has 128 divisors (see below), whose sum is σ = 704004073920. Its totient is φ = 51084165120.

The previous prime is 212717720269. The next prime is 212717720297. The reversal of 212717720280 is 82027717212.

It is a super-2 number, since 2×2127177202802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1598937 + ... + 1726856.

Almost surely, 2212717720280 is an apocalyptic number.

212717720280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212717720280 is an abundant number, since it is smaller than the sum of its proper divisors (491286353640).

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

212717720280 is a wasteful number, since it uses less digits than its factorization.

212717720280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325861 (or 3325857 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 39.

The spelling of 212717720280 in words is "two hundred twelve billion, seven hundred seventeen million, seven hundred twenty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 41 52 60 65 78 82 104 120 123 130 156 164 195 205 246 260 312 328 390 410 492 520 533 615 780 820 984 1066 1230 1560 1599 1640 2132 2460 2665 3198 4264 4920 5330 6396 7995 10660 12792 15990 21320 31980 63960 3325793 6651586 9977379 13303172 16628965 19954758 26606344 33257930 39909516 43235309 49886895 66515860 79819032 86470618 99773790 129705927 133031720 136357513 172941236 199547580 216176545 259411854 272715026 345882472 399095160 409072539 432353090 518823708 545430052 648529635 681787565 818145078 864706180 1037647416 1090860104 1297059270 1363575130 1636290156 1729412360 1772647669 2045362695 2594118540 2727150260 3272580312 3545295338 4090725390 5188237080 5317943007 5454300520 7090590676 8181450780 8863238345 10635886014 14181181352 16362901560 17726476690 21271772028 26589715035 35452953380 42543544056 53179430070 70905906760 106358860140 212717720280