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1220335140 = 2235171936199
BaseRepresentation
bin100100010111100…
…1101011000100100
310011001021110002210
41020233031120210
54444401211030
6321032003420
742145451253
oct11057153044
93131243083
101220335140
11576935942
122a0830570
13165a942cb
14b810479a
1572205bb0
hex48bcd624

1220335140 has 96 divisors (see below), whose sum is σ = 3637267200. Its totient is φ = 304644096.

The previous prime is 1220335093. The next prime is 1220335153. The reversal of 1220335140 is 415330221.

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, 193761 + ... + 199959.

It is an arithmetic number, because the mean of its divisors is an integer number (37888200).

Almost surely, 21220335140 is an apocalyptic number.

1220335140 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 1220335140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818633600).

1220335140 is an abundant number, since it is smaller than the sum of its proper divisors (2416932060).

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

1220335140 is a wasteful number, since it uses less digits than its factorization.

1220335140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6421 (or 6419 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1220335140 is about 34933.2955788600. The cubic root of 1220335140 is about 1068.6275646482.

Adding to 1220335140 its reverse (415330221), we get a palindrome (1635665361).

The spelling of 1220335140 in words is "one billion, two hundred twenty million, three hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 193 204 255 340 386 510 579 772 965 1020 1158 1930 2316 2895 3281 3860 5790 6199 6562 9843 11580 12398 13124 16405 18597 19686 24796 30995 32810 37194 39372 49215 61990 65620 74388 92985 98430 105383 123980 185970 196860 210766 316149 371940 421532 526915 632298 1053830 1196407 1264596 1580745 2107660 2392814 3161490 3589221 4785628 5982035 6322980 7178442 11964070 14356884 17946105 20338919 23928140 35892210 40677838 61016757 71784420 81355676 101694595 122033514 203389190 244067028 305083785 406778380 610167570 1220335140