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2215002040 = 2353741173211
BaseRepresentation
bin1000010000000110…
…0011111110111000
312201100220202120121
42010001203332320
514014020031130
61003443103024
7105614130616
oct20401437670
95640822517
102215002040
11a373468a9
12519971a74
13293b84bc4
141702646b6
15ce6d1d7a
hex84063fb8

2215002040 has 128 divisors (see below), whose sum is σ = 5298592320. Its totient is φ = 832204800.

The previous prime is 2215002037. The next prime is 2215002059. The reversal of 2215002040 is 402005122.

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, 10497535 + ... + 10497745.

Almost surely, 22215002040 is an apocalyptic number.

2215002040 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 2215002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649296160).

2215002040 is an abundant number, since it is smaller than the sum of its proper divisors (3083590280).

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

2215002040 is a wasteful number, since it uses less digits than its factorization.

2215002040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2215002040 is about 47063.8081757097. The cubic root of 2215002040 is about 1303.5410440878.

Adding to 2215002040 its reverse (402005122), we get a palindrome (2617007162).

The spelling of 2215002040 in words is "two billion, two hundred fifteen million, two thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 41 74 82 148 164 173 185 205 211 296 328 346 370 410 422 692 740 820 844 865 1055 1384 1480 1517 1640 1688 1730 2110 3034 3460 4220 6068 6401 6920 7093 7585 7807 8440 8651 12136 12802 14186 15170 15614 17302 25604 28372 30340 31228 32005 34604 35465 36503 39035 43255 51208 56744 60680 62456 64010 69208 70930 73006 78070 86510 128020 141860 146012 156140 173020 182515 256040 262441 283720 292024 312280 320087 346040 365030 524882 640174 730060 1049764 1280348 1312205 1350611 1460120 1496623 1600435 2099528 2560696 2624410 2701222 2993246 3200870 5248820 5402444 5986492 6401740 6753055 7483115 10497640 10804888 11972984 12803480 13506110 14966230 27012220 29932460 54024440 55375051 59864920 110750102 221500204 276875255 443000408 553750510 1107501020 2215002040