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2220730960 = 245722324631
BaseRepresentation
bin1000010001011101…
…1010101001010000
312201202200211011211
42010113122221100
514022001342320
61004205545504
7106013621200
oct20427325120
95652624154
102220730960
11a3a5aa048
1251b875294
1329510c6b6
14170d16400
15cee6455a
hex845daa50

2220730960 has 120 divisors (see below), whose sum is σ = 6267563136. Its totient is φ = 728259840.

The previous prime is 2220730951. The next prime is 2220731021. The reversal of 2220730960 is 690370222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77845 + ... + 102475.

Almost surely, 22220730960 is an apocalyptic number.

2220730960 is a gapful number since it is divisible by the number (20) 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 2220730960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133781568).

2220730960 is an abundant number, since it is smaller than the sum of its proper divisors (4046832176).

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

2220730960 is a wasteful number, since it uses less digits than its factorization.

2220730960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24681 (or 24668 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 2220730960 is about 47124.6322001562. The cubic root of 2220730960 is about 1304.6639103584.

The spelling of 2220730960 in words is "two billion, two hundred twenty million, seven hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 49 56 70 80 92 98 112 115 140 161 184 196 230 245 280 322 368 392 460 490 560 644 784 805 920 980 1127 1288 1610 1840 1960 2254 2576 3220 3920 4508 5635 6440 9016 11270 12880 18032 22540 24631 45080 49262 90160 98524 123155 172417 197048 246310 344834 394096 492620 566513 689668 862085 985240 1133026 1206919 1379336 1724170 1970480 2266052 2413838 2758672 2832565 3448340 3965591 4532104 4827676 5665130 6034595 6896680 7931182 9064208 9655352 11330260 12069190 13793360 15862364 19310704 19827955 22660520 24138380 27759137 31724728 39655910 45321040 48276760 55518274 63449456 79311820 96553520 111036548 138795685 158623640 222073096 277591370 317247280 444146192 555182740 1110365480 2220730960