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1220214440 = 2351729431439
BaseRepresentation
bin100100010111010…
…1111111010101000
310011001001022112102
41020232233322220
54444333330230
6321025232532
742144436334
oct11056577250
93131038472
101220214440
11576863195
122a0792748
13165a513a3
14b80b27c4
15721d0045
hex48bafea8

1220214440 has 128 divisors (see below), whose sum is σ = 3079296000. Its totient is φ = 432918528.

The previous prime is 1220214439. The next prime is 1220214473. The reversal of 1220214440 is 444120221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847241 + ... + 848679.

It is an arithmetic number, because the mean of its divisors is an integer number (24057000).

Almost surely, 21220214440 is an apocalyptic number.

1220214440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539648000).

1220214440 is an abundant number, since it is smaller than the sum of its proper divisors (1859081560).

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

1220214440 is a wasteful number, since it uses less digits than its factorization.

1220214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1220214440 is about 34931.5679579374. The cubic root of 1220214440 is about 1068.5923318132.

Adding to 1220214440 its reverse (444120221), we get a palindrome (1664334661).

The spelling of 1220214440 in words is "one billion, two hundred twenty million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 43 58 68 85 86 116 136 145 170 172 215 232 290 340 344 430 493 580 680 731 860 986 1160 1247 1439 1462 1720 1972 2465 2494 2878 2924 3655 3944 4930 4988 5756 5848 6235 7195 7310 9860 9976 11512 12470 14390 14620 19720 21199 24463 24940 28780 29240 41731 42398 48926 49880 57560 61877 83462 84796 97852 105995 122315 123754 166924 169592 195704 208655 211990 244630 247508 309385 333848 417310 423980 489260 495016 618770 709427 834620 847960 978520 1051909 1237540 1418854 1669240 1794433 2103818 2475080 2837708 3547135 3588866 4207636 5259545 5675416 7094270 7177732 8415272 8972165 10519090 14188540 14355464 17944330 21038180 28377080 30505361 35888660 42076360 61010722 71777320 122021444 152526805 244042888 305053610 610107220 1220214440