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3213002220 = 2235192997187
BaseRepresentation
bin1011111110000010…
…1000010111101100
322021220211102110020
42333200220113230
523040012032340
61250453442140
7142423032261
oct27740502754
98256742406
103213002220
1113a972413a
12758040350
133c2871a5c
14226a11268
1513c11a9d0
hexbf8285ec

3213002220 has 96 divisors (see below), whose sum is σ = 9796550400. Its totient is φ = 783707904.

The previous prime is 3213002213. The next prime is 3213002281. The reversal of 3213002220 is 222003123.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3213002220.

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, 15534 + ... + 81653.

It is an arithmetic number, because the mean of its divisors is an integer number (102047400).

Almost surely, 23213002220 is an apocalyptic number.

3213002220 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 3213002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898275200).

3213002220 is an abundant number, since it is smaller than the sum of its proper divisors (6583548180).

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

3213002220 is a wasteful number, since it uses less digits than its factorization.

3213002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97247 (or 97245 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3213002220 is about 56683.3504655468. The cubic root of 3213002220 is about 1475.6057601906.

Adding to 3213002220 its reverse (222003123), we get a palindrome (3435005343).

The spelling of 3213002220 in words is "three billion, two hundred thirteen million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 29 30 38 57 58 60 76 87 95 114 116 145 174 190 228 285 290 348 380 435 551 570 580 870 1102 1140 1653 1740 2204 2755 3306 5510 6612 8265 11020 16530 33060 97187 194374 291561 388748 485935 583122 971870 1166244 1457805 1846553 1943740 2818423 2915610 3693106 5539659 5636846 5831220 7386212 8455269 9232765 11079318 11273692 14092115 16910538 18465530 22158636 27698295 28184230 33821076 36931060 42276345 53550037 55396590 56368460 84552690 107100074 110793180 160650111 169105380 214200148 267750185 321300222 535500370 642600444 803250555 1071000740 1606501110 3213002220