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3223765740 = 22351310334001
BaseRepresentation
bin1100000000100110…
…1100001011101100
322022200002021020010
43000021230023230
523100241000430
61251520253220
7142613361636
oct30011541354
98280067203
103223765740
111404805a08
1275b771210
133c4b6ccc0
14228213a56
1513d044cb0
hexc026c2ec

3223765740 has 96 divisors (see below), whose sum is σ = 9732735936. Its totient is φ = 792576000.

The previous prime is 3223765729. The next prime is 3223765763. The reversal of 3223765740 is 475673223.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 803740 + ... + 807740.

It is an arithmetic number, because the mean of its divisors is an integer number (101382666).

Almost surely, 23223765740 is an apocalyptic number.

3223765740 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 3223765740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4866367968).

3223765740 is an abundant number, since it is smaller than the sum of its proper divisors (6508970196).

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

3223765740 is a wasteful number, since it uses less digits than its factorization.

3223765740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 39.

The square root of 3223765740 is about 56778.2153646978. The cubic root of 3223765740 is about 1477.2516776562.

The spelling of 3223765740 in words is "three billion, two hundred twenty-three million, seven hundred sixty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1033 2066 3099 4001 4132 5165 6198 8002 10330 12003 12396 13429 15495 16004 20005 20660 24006 26858 30990 40010 40287 48012 52013 53716 60015 61980 67145 80020 80574 104026 120030 134290 156039 161148 201435 208052 240060 260065 268580 312078 402870 520130 624156 780195 805740 1040260 1560390 3120780 4133033 8266066 12399099 16532132 20665165 24798198 41330330 49596396 53729429 61995495 82660660 107458858 123990990 161188287 214917716 247981980 268647145 322376574 537294290 644753148 805941435 1074588580 1611882870 3223765740