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2253466332 = 2235131391283
BaseRepresentation
bin1000011001010001…
…0010101011011100
312211001021221200000
42012110102223130
514103341410312
61011335334300
7106562101455
oct20624225334
95731257600
102253466332
11a57028677
1252a821390
1329bb31740
141753d812c
15d2c7dadc
hex86512adc

2253466332 has 144 divisors (see below), whose sum is σ = 6412398720. Its totient is φ = 687849408.

The previous prime is 2253466321. The next prime is 2253466333. The reversal of 2253466332 is 2336643522.

2253466332 is a `hidden beast` number, since 225 + 346 + 63 + 32 = 666.

It is a super-2 number, since 2×22534663322 = 10156221018915068448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (155520) is a multiple of the sum of its prime divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253466333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1755763 + ... + 1757045.

Almost surely, 22253466332 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 2253466332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206199360).

2253466332 is an abundant number, since it is smaller than the sum of its proper divisors (4158932388).

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

2253466332 is a wasteful number, since it uses less digits than its factorization.

2253466332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1440 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

The square root of 2253466332 is about 47470.6891881717. The cubic root of 2253466332 is about 1311.0432673748.

The spelling of 2253466332 in words is "two billion, two hundred fifty-three million, four hundred sixty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 139 156 162 234 243 278 324 351 417 468 486 556 702 834 972 1053 1251 1283 1404 1668 1807 2106 2502 2566 3159 3614 3753 3849 4212 5004 5132 5421 6318 7228 7506 7698 10842 11259 11547 12636 15012 15396 16263 16679 21684 22518 23094 32526 33358 33777 34641 45036 46188 48789 50037 65052 66716 67554 69282 97578 100074 103923 135108 138564 146367 150111 178337 195156 200148 207846 292734 300222 311769 356674 415692 439101 450333 535011 585468 600444 623538 713348 878202 900666 1070022 1247076 1350999 1605033 1756404 1801332 2140044 2318381 2701998 3210066 4052997 4636762 4815099 5403996 6420132 6955143 8105994 9273524 9630198 13910286 14445297 16211988 19260396 20865429 27820572 28890594 41730858 43335891 57781188 62596287 83461716 86671782 125192574 173343564 187788861 250385148 375577722 563366583 751155444 1126733166 2253466332