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45033182220 = 223513409141161
BaseRepresentation
bin101001111100001011…
…111101010000001100
311022020102212200111210
4221330023331100030
51214211443312340
632404333214420
73152651506305
oct517413752014
9138212780453
1045033182220
111810a06a374
128889631410
134328a5b6b0
142272c297ac
1512887e5180
hexa7c2fd40c

45033182220 has 96 divisors (see below), whose sum is σ = 136125339840. Its totient is φ = 11057909760.

The previous prime is 45033182213. The next prime is 45033182231. The reversal of 45033182220 is 2228133054.

45033182220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 248440 + ... + 389600.

It is an arithmetic number, because the mean of its divisors is an integer number (1417972290).

Almost surely, 245033182220 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 45033182220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68062669920).

45033182220 is an abundant number, since it is smaller than the sum of its proper divisors (91092157620).

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

45033182220 is a wasteful number, since it uses less digits than its factorization.

45033182220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141595 (or 141593 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 45033182220 in words is "forty-five billion, thirty-three million, one hundred eighty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 409 780 818 1227 1636 2045 2454 4090 4908 5317 6135 8180 10634 12270 15951 21268 24540 26585 31902 53170 63804 79755 106340 141161 159510 282322 319020 423483 564644 705805 846966 1411610 1693932 1835093 2117415 2823220 3670186 4234830 5505279 7340372 8469660 9175465 11010558 18350930 22021116 27526395 36701860 55052790 57734849 110105580 115469698 173204547 230939396 288674245 346409094 577348490 692818188 750553037 866022735 1154696980 1501106074 1732045470 2251659111 3002212148 3464090940 3752765185 4503318222 7505530370 9006636444 11258295555 15011060740 22516591110 45033182220