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3422051220 = 2235722694327
BaseRepresentation
bin1100101111111000…
…0101101110010100
322211111012012202210
43023332011232110
524002021114340
61323322233420
7150541645500
oct31376055624
98744165683
103422051220
1114a6727805
127b6055870
13426c76aa3
142466ab300
15150661180
hexcbf85b94

3422051220 has 144 divisors (see below), whose sum is σ = 11190130560. Its totient is φ = 779095296.

The previous prime is 3422051201. The next prime is 3422051231. The reversal of 3422051220 is 221502243.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 788697 + ... + 793023.

It is an arithmetic number, because the mean of its divisors is an integer number (77709240).

Almost surely, 23422051220 is an apocalyptic number.

3422051220 is a gapful number since it is divisible by the number (30) 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 3422051220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595065280).

3422051220 is an abundant number, since it is smaller than the sum of its proper divisors (7768079340).

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

3422051220 is a wasteful number, since it uses less digits than its factorization.

3422051220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4622 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 3422051220 is about 58498.3010009693. The cubic root of 3422051220 is about 1506.9384072953.

Adding to 3422051220 its reverse (221502243), we get a palindrome (3643553463).

The spelling of 3422051220 in words is "three billion, four hundred twenty-two million, fifty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 269 294 420 490 538 588 735 807 980 1076 1345 1470 1614 1883 2690 2940 3228 3766 4035 4327 5380 5649 7532 8070 8654 9415 11298 12981 13181 16140 17308 18830 21635 22596 25962 26362 28245 30289 37660 39543 43270 51924 52724 56490 60578 64905 65905 79086 86540 90867 112980 121156 129810 131810 151445 158172 181734 197715 212023 259620 263620 302890 363468 395430 424046 454335 605780 636069 790860 848092 908670 1060115 1163963 1272138 1817340 2120230 2327926 2544276 3180345 3491889 4240460 4655852 5819815 6360690 6983778 8147741 11639630 12721380 13967556 16295482 17459445 23279260 24443223 32590964 34918890 40738705 48886446 57034187 69837780 81477410 97772892 114068374 122216115 162954820 171102561 228136748 244432230 285170935 342205122 488864460 570341870 684410244 855512805 1140683740 1711025610 3422051220