Search a number
-
+
200472390 = 23254783571
BaseRepresentation
bin10111111001011…
…11011101000110
3111222020001102100
423330233131012
5402310104030
631520452530
74652662416
oct1374573506
9458201370
10200472390
11a3185968
125717a146
13326c1321
141c8a6646
15128ee360
hexbf2f746

200472390 has 96 divisors (see below), whose sum is σ = 539675136. Its totient is φ = 51600960.

The previous prime is 200472373. The next prime is 200472403. The reversal of 200472390 is 93274002.

200472390 is a `hidden beast` number, since 200 + 4 + 72 + 390 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350805 + ... + 351375.

It is an arithmetic number, because the mean of its divisors is an integer number (5621616).

Almost surely, 2200472390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200472390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269837568).

200472390 is an abundant number, since it is smaller than the sum of its proper divisors (339202746).

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

200472390 is a wasteful number, since it uses less digits than its factorization.

200472390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 200472390 is about 14158.8272819468. The cubic root of 200472390 is about 585.2636111965.

The spelling of 200472390 in words is "two hundred million, four hundred seventy-two thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 83 90 94 141 166 235 249 282 415 423 470 498 571 705 747 830 846 1142 1245 1410 1494 1713 2115 2490 2855 3426 3735 3901 4230 5139 5710 7470 7802 8565 10278 11703 17130 19505 23406 25695 26837 35109 39010 47393 51390 53674 58515 70218 80511 94786 117030 134185 142179 161022 175545 236965 241533 268370 284358 351090 402555 426537 473930 483066 710895 805110 853074 1207665 1421790 2132685 2227471 2415330 4265370 4454942 6682413 11137355 13364826 20047239 22274710 33412065 40094478 66824130 100236195 200472390