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2194101520 = 245132578209
BaseRepresentation
bin1000001011000111…
…0101010100010000
312122220120220110021
42002301311110100
513443142222040
61001415113224
7105241361302
oct20261652420
95586526407
102194101520
11a26570a46
12512972814
1328c747930
1416b583972
15cc95424a
hex82c75510

2194101520 has 80 divisors (see below), whose sum is σ = 5515740720. Its totient is φ = 806879232.

The previous prime is 2194101509. The next prime is 2194101599. The reversal of 2194101520 is 251014912.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 82882816 + 2111218704 = 9104^2 + 45948^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263176 + ... + 271384.

It is an arithmetic number, because the mean of its divisors is an integer number (68946759).

Almost surely, 22194101520 is an apocalyptic number.

2194101520 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 2194101520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757870360).

2194101520 is an abundant number, since it is smaller than the sum of its proper divisors (3321639200).

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

2194101520 is a wasteful number, since it uses less digits than its factorization.

2194101520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8492 (or 8486 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 2194101520 is about 46841.2373875840. The cubic root of 2194101520 is about 1299.4280560986.

The spelling of 2194101520 in words is "two billion, one hundred ninety-four million, one hundred one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 257 260 514 520 1028 1040 1285 2056 2570 3341 4112 5140 6682 8209 10280 13364 16418 16705 20560 26728 32836 33410 41045 53456 65672 66820 82090 106717 131344 133640 164180 213434 267280 328360 426868 533585 656720 853736 1067170 1707472 2109713 2134340 4219426 4268680 8438852 8537360 10548565 16877704 21097130 27426269 33755408 42194260 54852538 84388520 109705076 137131345 168777040 219410152 274262690 438820304 548525380 1097050760 2194101520