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1220155300 = 2252713197057
BaseRepresentation
bin100100010111010…
…0001011110100100
310011000221022102001
41020232201132210
54444324432200
6321024055044
742144102040
oct11056413644
93130838361
101220155300
11576822811
122a0764484
13165a304b0
14b8099020
15721bc76a
hex48ba17a4

1220155300 has 144 divisors (see below), whose sum is σ = 3430752640. Its totient is φ = 365783040.

The previous prime is 1220155289. The next prime is 1220155301. The reversal of 1220155300 is 35510221.

1220155300 is a nontrivial binomial coefficient, being equal to C(49400, 2).

It is a super-2 number, since 2×12201553002 = 2977557912236180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (1220155301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169372 + ... + 176428.

Almost surely, 21220155300 is an apocalyptic number.

1220155300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1220155300 is the 49399-th triangular number and also the 24700-th hexagonal number.

1220155300 is the 16467-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220155300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715376320).

1220155300 is an abundant number, since it is smaller than the sum of its proper divisors (2210597340).

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

1220155300 is a wasteful number, since it uses less digits than its factorization.

1220155300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7110 (or 7103 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 1220155300 is about 34930.7214354356. The cubic root of 1220155300 is about 1068.5750677517.

Adding to 1220155300 its reverse (35510221), we get a palindrome (1255665521).

It can be divided in two parts, 1220 and 155300, that added together give a triangular number (156520 = T559).

The spelling of 1220155300 in words is "one billion, two hundred twenty million, one hundred fifty-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 19 20 25 26 28 35 38 50 52 65 70 76 91 95 100 130 133 140 175 182 190 247 260 266 325 350 364 380 455 475 494 532 650 665 700 910 950 988 1235 1300 1330 1729 1820 1900 2275 2470 2660 3325 3458 4550 4940 6175 6650 6916 7057 8645 9100 12350 13300 14114 17290 24700 28228 34580 35285 43225 49399 70570 86450 91741 98798 134083 141140 172900 176425 183482 197596 246995 268166 352850 366964 458705 493990 536332 642187 670415 705700 917410 938581 987980 1234975 1284374 1340830 1743079 1834820 1877162 2293525 2469950 2568748 2681660 3210935 3352075 3486158 3754324 4587050 4692905 4939900 6421870 6704150 6972316 8715395 9174100 9385810 12201553 12843740 13408300 16054675 17430790 18771620 23464525 24403106 32109350 34861580 43576975 46929050 48806212 61007765 64218700 87153950 93858100 122015530 174307900 244031060 305038825 610077650 1220155300