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2215415000 = 23543114293
BaseRepresentation
bin1000010000001100…
…1000110011011000
312201101200202001102
42010003020303120
514014121240000
61003500010532
7105620500601
oct20403106330
95641622042
102215415000
11a375a9097
12519b30a48
13293c9ab66
14170330da8
15ce7643d5
hex840c8cd8

2215415000 has 80 divisors (see below), whose sum is σ = 5358534720. Its totient is φ = 857520000.

The previous prime is 2215414963. The next prime is 2215415011. The reversal of 2215415000 is 5145122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 147854 + ... + 162146.

It is an arithmetic number, because the mean of its divisors is an integer number (66981684).

Almost surely, 22215415000 is an apocalyptic number.

2215415000 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 2215415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679267360).

2215415000 is an abundant number, since it is smaller than the sum of its proper divisors (3143119720).

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

2215415000 is a wasteful number, since it uses less digits than its factorization.

2215415000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14350 (or 14331 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2215415000 is about 47068.1952065299. The cubic root of 2215415000 is about 1303.6220488077.

The spelling of 2215415000 in words is "two billion, two hundred fifteen million, four hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 625 775 1000 1240 1250 1550 2500 3100 3875 5000 6200 7750 14293 15500 19375 28586 31000 38750 57172 71465 77500 114344 142930 155000 285860 357325 443083 571720 714650 886166 1429300 1772332 1786625 2215415 2858600 3544664 3573250 4430830 7146500 8861660 8933125 11077075 14293000 17723320 17866250 22154150 35732500 44308300 55385375 71465000 88616600 110770750 221541500 276926875 443083000 553853750 1107707500 2215415000