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1220002008 = 2331719337467
BaseRepresentation
bin100100010110111…
…1100000011011000
310011000122112010120
41020231330003120
54444310031013
6321020513240
742142563111
oct11055740330
93130575116
101220002008
11576728625
122a06ab820
131659a87a4
14b8059208
157218c123
hex48b7c0d8

1220002008 has 128 divisors (see below), whose sum is σ = 3416774400. Its totient is φ = 360751104.

The previous prime is 1220001973. The next prime is 1220002019. The reversal of 1220002008 is 8002000221.

It is a congruent number.

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, 2612191 + ... + 2612657.

It is an arithmetic number, because the mean of its divisors is an integer number (26693550).

Almost surely, 21220002008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220002008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708387200).

1220002008 is an abundant number, since it is smaller than the sum of its proper divisors (2196772392).

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

1220002008 is a wasteful number, since it uses less digits than its factorization.

1220002008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1220002008 is about 34928.5271375705. The cubic root of 1220002008 is about 1068.5303163802.

Adding to 1220002008 its reverse (8002000221), we get a palindrome (9222002229).

The spelling of 1220002008 in words is "one billion, two hundred twenty million, two thousand, eight".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 337 408 456 467 646 674 934 969 1011 1292 1348 1401 1868 1938 2022 2584 2696 2802 3736 3876 4044 5604 5729 6403 7752 7939 8088 8873 11208 11458 12806 15878 17187 17746 19209 22916 23817 25612 26619 31756 34374 35492 38418 45832 47634 51224 53238 63512 68748 70984 76836 95268 106476 108851 137496 150841 153672 157379 190536 212952 217702 301682 314758 326553 435404 452523 472137 603364 629516 653106 870808 905046 944274 1206728 1259032 1306212 1810092 1888548 2612424 2675443 2990201 3620184 3777096 5350886 5980402 8026329 8970603 10701772 11960804 16052658 17941206 21403544 23921608 32105316 35882412 50833417 64210632 71764824 101666834 152500251 203333668 305000502 406667336 610001004 1220002008