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472230864 = 24337198219
BaseRepresentation
bin11100001001011…
…010101111010000
31012220120210222000
4130021122233100
51431342341424
6114505314000
714462616240
oct3411325720
91186523860
10472230864
11222620046
12112195900
1376ab1661
1446a07b20
152b6d03c9
hex1c25abd0

472230864 has 160 divisors (see below), whose sum is σ = 1630848000. Its totient is φ = 127806336.

The previous prime is 472230851. The next prime is 472230887. The reversal of 472230864 is 468032274.

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

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, 53347 + ... + 61565.

It is an arithmetic number, because the mean of its divisors is an integer number (10192800).

Almost surely, 2472230864 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 472230864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815424000).

472230864 is an abundant number, since it is smaller than the sum of its proper divisors (1158617136).

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

472230864 is a wasteful number, since it uses less digits than its factorization.

472230864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8262 (or 8250 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 472230864 is about 21730.8735213290. The cubic root of 472230864 is about 778.7262049588.

The spelling of 472230864 in words is "four hundred seventy-two million, two hundred thirty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 912 1008 1026 1064 1197 1368 1512 1596 2052 2128 2394 2736 3024 3192 3591 4104 4788 6384 7182 8208 8219 9576 14364 16438 19152 24657 28728 32876 49314 57456 57533 65752 73971 98628 115066 131504 147942 156161 172599 197256 221913 230132 295884 312322 345198 394512 443826 460264 468483 517797 591768 624644 690396 887652 920528 936966 1035594 1093127 1183536 1249288 1380792 1405449 1553391 1775304 1873932 2071188 2186254 2498576 2761584 2810898 3106782 3279381 3550608 3747864 4142376 4216347 4372508 5621796 6213564 6558762 7495728 8284752 8432694 8745016 9838143 11243592 12427128 13117524 16865388 17490032 19676286 22487184 24854256 26235048 29514429 33730776 39352572 52470096 59028858 67461552 78705144 118057716 157410288 236115432 472230864